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Finding the Fourth Proportional to 631.68, 871.28 and 382.72

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Solution

The fourth proportional to 631.68, 871.28 and 382.72 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 871.28 = 382.72 : x
  2. Step 2: Convert to fraction form
    631.68/871.28 = 382.72/x
  3. Step 3: Cross multiply
    631.68x = 871.28 × 382.72
  4. Step 4: Simplify right side
    631.68x = 333,456.28
  5. Step 5: Solve for x
    x = 333,456.28/631.68
  6. Step 6: Final answer
    x = 527.89

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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.