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Finding the Fourth Proportional to 517.68, 775.29 and 421.28

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Solution

The fourth proportional to 517.68, 775.29 and 421.28 is: 630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.68 : 775.29 = 421.28 : x
  2. Step 2: Convert to fraction form
    517.68/775.29 = 421.28/x
  3. Step 3: Cross multiply
    517.68x = 775.29 × 421.28
  4. Step 4: Simplify right side
    517.68x = 326,614.17
  5. Step 5: Solve for x
    x = 326,614.17/517.68
  6. Step 6: Final answer
    x = 630.92

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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.