Are these ratios equivalent?

1:7 and 4:47

Make one of the numbers of the two ratios at same value by multiplying each part of the ratios with a factor.

So, multiply each part of 1:7 by the same factor of 4,

1:7 = (1 × 4) : (7 × 4) = 4:28 ≠ 4:47

Thus, they are not equivalent ratios.