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Finding the Fourth Proportional to 475.68, 710.52 and 421.92

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Solution

The fourth proportional to 475.68, 710.52 and 421.92 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 710.52 = 421.92 : x
  2. Step 2: Convert to fraction form
    475.68/710.52 = 421.92/x
  3. Step 3: Cross multiply
    475.68x = 710.52 × 421.92
  4. Step 4: Simplify right side
    475.68x = 299,782.60
  5. Step 5: Solve for x
    x = 299,782.60/475.68
  6. Step 6: Final answer
    x = 630.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.