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Finding the Fourth Proportional to 724.40, 1,086.27 and 432.04

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Solution

The fourth proportional to 724.40, 1,086.27 and 432.04 is: 647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.40 : 1,086.27 = 432.04 : x
  2. Step 2: Convert to fraction form
    724.40/1,086.27 = 432.04/x
  3. Step 3: Cross multiply
    724.40x = 1,086.27 × 432.04
  4. Step 4: Simplify right side
    724.40x = 469,312.09
  5. Step 5: Solve for x
    x = 469,312.09/724.40
  6. Step 6: Final answer
    x = 647.86

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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.