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Finding the Fourth Proportional to 560.17, 773.31 and 429.76

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Solution

The fourth proportional to 560.17, 773.31 and 429.76 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.17 : 773.31 = 429.76 : x
  2. Step 2: Convert to fraction form
    560.17/773.31 = 429.76/x
  3. Step 3: Cross multiply
    560.17x = 773.31 × 429.76
  4. Step 4: Simplify right side
    560.17x = 332,337.71
  5. Step 5: Solve for x
    x = 332,337.71/560.17
  6. Step 6: Final answer
    x = 593.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.