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Finding the Fourth Proportional to 488.30, 731.12 and 331.79

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Solution

The fourth proportional to 488.30, 731.12 and 331.79 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.30 : 731.12 = 331.79 : x
  2. Step 2: Convert to fraction form
    488.30/731.12 = 331.79/x
  3. Step 3: Cross multiply
    488.30x = 731.12 × 331.79
  4. Step 4: Simplify right side
    488.30x = 242,572.99
  5. Step 5: Solve for x
    x = 242,572.99/488.30
  6. Step 6: Final answer
    x = 496.78

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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.