Home / 473.66-710.76-408.86

Finding the Fourth Proportional to 473.66, 710.76 and 408.86

Calculator

Solution

The fourth proportional to 473.66, 710.76 and 408.86 is: 613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 710.76 = 408.86 : x
  2. Step 2: Convert to fraction form
    473.66/710.76 = 408.86/x
  3. Step 3: Cross multiply
    473.66x = 710.76 × 408.86
  4. Step 4: Simplify right side
    473.66x = 290,601.33
  5. Step 5: Solve for x
    x = 290,601.33/473.66
  6. Step 6: Final answer
    x = 613.52

Related Problems

Find fourth proportional to 236.83, 355.38 and 204.43
Half scale
Find fourth proportional to 947.32, 1,421.52 and 817.72
Double scale
Find fourth proportional to 474.66, 712.26 and 409.86
Similar ratio
Find fourth proportional to 710.49, 1,066.14 and 613.29
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.