Home / 474-710.73-420

Finding the Fourth Proportional to 474, 710.73 and 420

Calculator

Solution

The fourth proportional to 474, 710.73 and 420 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 710.73 = 420 : x
  2. Step 2: Convert to fraction form
    474/710.73 = 420/x
  3. Step 3: Cross multiply
    474x = 710.73 × 420
  4. Step 4: Simplify right side
    474x = 298,506.60
  5. Step 5: Solve for x
    x = 298,506.60/474
  6. Step 6: Final answer
    x = 629.76

Related Problems

Find fourth proportional to 237, 355.37 and 210
Half scale
Find fourth proportional to 948, 1,421.46 and 840
Double scale
Find fourth proportional to 475, 712.23 and 421
Similar ratio
Find fourth proportional to 711, 1,066.10 and 630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.