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Finding the Fourth Proportional to 631.13, 871.12 and 382.46

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Solution

The fourth proportional to 631.13, 871.12 and 382.46 is: 527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 871.12 = 382.46 : x
  2. Step 2: Convert to fraction form
    631.13/871.12 = 382.46/x
  3. Step 3: Cross multiply
    631.13x = 871.12 × 382.46
  4. Step 4: Simplify right side
    631.13x = 333,164.68
  5. Step 5: Solve for x
    x = 333,164.68/631.13
  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.