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Finding the Fourth Proportional to 447.62, 617.31 and 314.87

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Solution

The fourth proportional to 447.62, 617.31 and 314.87 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.62 : 617.31 = 314.87 : x
  2. Step 2: Convert to fraction form
    447.62/617.31 = 314.87/x
  3. Step 3: Cross multiply
    447.62x = 617.31 × 314.87
  4. Step 4: Simplify right side
    447.62x = 194,369.31
  5. Step 5: Solve for x
    x = 194,369.31/447.62
  6. Step 6: Final answer
    x = 434.23

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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.