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Finding the Fourth Proportional to 871.17, 1,306.72 and 432.25

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Solution

The fourth proportional to 871.17, 1,306.72 and 432.25 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.17 : 1,306.72 = 432.25 : x
  2. Step 2: Convert to fraction form
    871.17/1,306.72 = 432.25/x
  3. Step 3: Cross multiply
    871.17x = 1,306.72 × 432.25
  4. Step 4: Simplify right side
    871.17x = 564,831.91
  5. Step 5: Solve for x
    x = 564,831.91/871.17
  6. Step 6: Final answer
    x = 648.36

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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.