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Finding the Fourth Proportional to 954.57, 1,432.35 and 724.89

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Solution

The fourth proportional to 954.57, 1,432.35 and 724.89 is: 1,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.57 : 1,432.35 = 724.89 : x
  2. Step 2: Convert to fraction form
    954.57/1,432.35 = 724.89/x
  3. Step 3: Cross multiply
    954.57x = 1,432.35 × 724.89
  4. Step 4: Simplify right side
    954.57x = 1,038,296.19
  5. Step 5: Solve for x
    x = 1,038,296.19/954.57
  6. Step 6: Final answer
    x = 1,087.71

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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.