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Finding the Fourth Proportional to 631.76, 872.20 and 422.24

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Solution

The fourth proportional to 631.76, 872.20 and 422.24 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 872.20 = 422.24 : x
  2. Step 2: Convert to fraction form
    631.76/872.20 = 422.24/x
  3. Step 3: Cross multiply
    631.76x = 872.20 × 422.24
  4. Step 4: Simplify right side
    631.76x = 368,277.73
  5. Step 5: Solve for x
    x = 368,277.73/631.76
  6. Step 6: Final answer
    x = 582.94

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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.