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Finding the Fourth Proportional to 631.62, 871.29 and 395.91

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Solution

The fourth proportional to 631.62, 871.29 and 395.91 is: 546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 871.29 = 395.91 : x
  2. Step 2: Convert to fraction form
    631.62/871.29 = 395.91/x
  3. Step 3: Cross multiply
    631.62x = 871.29 × 395.91
  4. Step 4: Simplify right side
    631.62x = 344,952.42
  5. Step 5: Solve for x
    x = 344,952.42/631.62
  6. Step 6: Final answer
    x = 546.14

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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.