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Finding the Fourth Proportional to 671.31, 925.68 and 422.34

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Solution

The fourth proportional to 671.31, 925.68 and 422.34 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.31 : 925.68 = 422.34 : x
  2. Step 2: Convert to fraction form
    671.31/925.68 = 422.34/x
  3. Step 3: Cross multiply
    671.31x = 925.68 × 422.34
  4. Step 4: Simplify right side
    671.31x = 390,951.69
  5. Step 5: Solve for x
    x = 390,951.69/671.31
  6. Step 6: Final answer
    x = 582.37

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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.