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Finding the Fourth Proportional to 717.60, 1,076.52 and 332.72

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Solution

The fourth proportional to 717.60, 1,076.52 and 332.72 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.60 : 1,076.52 = 332.72 : x
  2. Step 2: Convert to fraction form
    717.60/1,076.52 = 332.72/x
  3. Step 3: Cross multiply
    717.60x = 1,076.52 × 332.72
  4. Step 4: Simplify right side
    717.60x = 358,179.73
  5. Step 5: Solve for x
    x = 358,179.73/717.60
  6. Step 6: Final answer
    x = 499.14

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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.