Is Russian Grammar Similar to Latin Grammar?

While I was researching how to learn Russian a couple of months ago I stumbled upon the Latin learning community. It turns out that there are people learning it as a living, spoken language. Not only that, there are in fact comprehensible input resources to help people learn it. 

Specifically there is a book series called Lingua Latina which teaches the reader Latin without using any other languages. Everything is written in Latin, starting with very simple sentences and working up to authentic Roman texts. Many people believe that it is not only the best book that's ever been written to teach people Latin, it's the best book for that purpose for any language.

Now prior to this I was aware that Latin like Russian uses a case system. Although until recently I only had a vague idea of what that means. That words have different forms depending on the context they are presenting.

So I decided to look up how Latin grammar works and I stumbled up on a page which explains some of the Latin Cases. I recognised some of the terms; Nominative, Accusative, Dative etc. from my contact with Russian language material.

I looked up the Russian case system and it seems there are 6 cases: Nominative, Accusative, Prepositional, Genitive, Dative and Instrumental. For each there are singular and plural forms. There are 3 other cases that are remnants of older forms of Russian called the Ablative, Vocative and Locative. But it seems these are rarely used these days.

That's it really. I just wanted to make a note of the fact that I'm starting to explore grammar. I literally have no other knowledge or understanding of the Russian grammar at this point. And for all I know the Nominative case in Latin and Russian have no similarity or relation to each other and the article I read has no bearing on my Russian acquisition.

But of course, I'll keep you up to date on how my understanding of Russian grammar evolves!