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Finding the Fourth Proportional to 562.38, 840.31 and 429.87

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Solution

The fourth proportional to 562.38, 840.31 and 429.87 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 840.31 = 429.87 : x
  2. Step 2: Convert to fraction form
    562.38/840.31 = 429.87/x
  3. Step 3: Cross multiply
    562.38x = 840.31 × 429.87
  4. Step 4: Simplify right side
    562.38x = 361,224.06
  5. Step 5: Solve for x
    x = 361,224.06/562.38
  6. Step 6: Final answer
    x = 642.31

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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.