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Finding the Fourth Proportional to 724.54, 1,084.08 and 430.96

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Solution

The fourth proportional to 724.54, 1,084.08 and 430.96 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.54 : 1,084.08 = 430.96 : x
  2. Step 2: Convert to fraction form
    724.54/1,084.08 = 430.96/x
  3. Step 3: Cross multiply
    724.54x = 1,084.08 × 430.96
  4. Step 4: Simplify right side
    724.54x = 467,195.12
  5. Step 5: Solve for x
    x = 467,195.12/724.54
  6. Step 6: Final answer
    x = 644.82

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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.