Yes, that's the way and seems to be the way followed by orchestral musicians: tune pairs of strings together.
I'm told to tune my A to the reference A (the piano, oboe or tuning fork).
Then draw the bow across the A and E strings together and adjust the E fine tuner (sorry to the purists) until the beat slows to nothing.
Then the A and D strings the same way. Then D and G. Then recheck the A (and go throug it again if necessary).
Does this sound right?
I had one problem: when the beat was very slow, was the string being tuned sharp or flat? But you learn to listen.

(Sometimes I cheat having a Korg chromatic tuner, to get the A, anyway, but I like to think I'm learning to tune properly)