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Finding the Fourth Proportional to 725.28, 1,087.92 and 292.47

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Solution

The fourth proportional to 725.28, 1,087.92 and 292.47 is: 438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.28 : 1,087.92 = 292.47 : x
  2. Step 2: Convert to fraction form
    725.28/1,087.92 = 292.47/x
  3. Step 3: Cross multiply
    725.28x = 1,087.92 × 292.47
  4. Step 4: Simplify right side
    725.28x = 318,183.96
  5. Step 5: Solve for x
    x = 318,183.96/725.28
  6. Step 6: Final answer
    x = 438.71

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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.