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Finding the Fourth Proportional to 631.82, 871.71 and 500.42

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Solution

The fourth proportional to 631.82, 871.71 and 500.42 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 871.71 = 500.42 : x
  2. Step 2: Convert to fraction form
    631.82/871.71 = 500.42/x
  3. Step 3: Cross multiply
    631.82x = 871.71 × 500.42
  4. Step 4: Simplify right side
    631.82x = 436,221.12
  5. Step 5: Solve for x
    x = 436,221.12/631.82
  6. Step 6: Final answer
    x = 690.42

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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.