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Finding the Fourth Proportional to 715.92, 1,073.84 and 331.17

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Solution

The fourth proportional to 715.92, 1,073.84 and 331.17 is: 496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 1,073.84 = 331.17 : x
  2. Step 2: Convert to fraction form
    715.92/1,073.84 = 331.17/x
  3. Step 3: Cross multiply
    715.92x = 1,073.84 × 331.17
  4. Step 4: Simplify right side
    715.92x = 355,621.94
  5. Step 5: Solve for x
    x = 355,621.94/715.92
  6. Step 6: Final answer
    x = 496.73

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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.