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Finding the Fourth Proportional to 632.64, 871.56 and 539.16

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Solution

The fourth proportional to 632.64, 871.56 and 539.16 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.64 : 871.56 = 539.16 : x
  2. Step 2: Convert to fraction form
    632.64/871.56 = 539.16/x
  3. Step 3: Cross multiply
    632.64x = 871.56 × 539.16
  4. Step 4: Simplify right side
    632.64x = 469,910.29
  5. Step 5: Solve for x
    x = 469,910.29/632.64
  6. Step 6: Final answer
    x = 742.78

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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.