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Finding the Fourth Proportional to 488.32, 674.12 and 331.78

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Solution

The fourth proportional to 488.32, 674.12 and 331.78 is: 458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.32 : 674.12 = 331.78 : x
  2. Step 2: Convert to fraction form
    488.32/674.12 = 331.78/x
  3. Step 3: Cross multiply
    488.32x = 674.12 × 331.78
  4. Step 4: Simplify right side
    488.32x = 223,658.68
  5. Step 5: Solve for x
    x = 223,658.68/488.32
  6. Step 6: Final answer
    x = 458.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.