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Finding the Fourth Proportional to 724.60, 1,086.92 and 291.72

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Solution

The fourth proportional to 724.60, 1,086.92 and 291.72 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.60 : 1,086.92 = 291.72 : x
  2. Step 2: Convert to fraction form
    724.60/1,086.92 = 291.72/x
  3. Step 3: Cross multiply
    724.60x = 1,086.92 × 291.72
  4. Step 4: Simplify right side
    724.60x = 317,076.30
  5. Step 5: Solve for x
    x = 317,076.30/724.60
  6. Step 6: Final answer
    x = 437.59

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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.