A map of Australia has a scale of 1 cm to 120 km. If the distance between Melbourne and Canberra is 463 km, how far apart are they on the map, to the nearest tenth of a centimeter?

I got 3.9 cm. I made a proportion 1/120=x/463 and that's how I got 3.9. Is this right?

3 answers

Yes.
120 km = 463 km
------------.... ---------
1cm(map) map distance (cm)

Cross-multiply to get algebra equation.

120x =463
x = 463/120 = 3.858333333 (round off to 3.9 since 3.858 is closer to 3 9/10 than
3 8/10 - always round up from 5 or greater 3.8(58)
x = 3.9 cm

so ya I think that should be the right answer ;) =) I had trouble with that one too. I'm from Insight so I know. I hope you get it right ;) =)
With a scale of 1cm to 20km , What is the actual distance when two points on the map if they are 120km long