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Finding the Fourth Proportional to 717.59, 1,076.56 and 306.52

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Solution

The fourth proportional to 717.59, 1,076.56 and 306.52 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.59 : 1,076.56 = 306.52 : x
  2. Step 2: Convert to fraction form
    717.59/1,076.56 = 306.52/x
  3. Step 3: Cross multiply
    717.59x = 1,076.56 × 306.52
  4. Step 4: Simplify right side
    717.59x = 329,983.71
  5. Step 5: Solve for x
    x = 329,983.71/717.59
  6. Step 6: Final answer
    x = 459.85

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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.