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Finding the Fourth Proportional to 447.52, 670.13 and 331.79

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Solution

The fourth proportional to 447.52, 670.13 and 331.79 is: 496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.52 : 670.13 = 331.79 : x
  2. Step 2: Convert to fraction form
    447.52/670.13 = 331.79/x
  3. Step 3: Cross multiply
    447.52x = 670.13 × 331.79
  4. Step 4: Simplify right side
    447.52x = 222,342.43
  5. Step 5: Solve for x
    x = 222,342.43/447.52
  6. Step 6: Final answer
    x = 496.83

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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.