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Finding the Fourth Proportional to 632.24, 872.85 and 422.71

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Solution

The fourth proportional to 632.24, 872.85 and 422.71 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 872.85 = 422.71 : x
  2. Step 2: Convert to fraction form
    632.24/872.85 = 422.71/x
  3. Step 3: Cross multiply
    632.24x = 872.85 × 422.71
  4. Step 4: Simplify right side
    632.24x = 368,962.42
  5. Step 5: Solve for x
    x = 368,962.42/632.24
  6. Step 6: Final answer
    x = 583.58

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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.