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Finding the Fourth Proportional to 667.92, 922.55 and 472.31

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Solution

The fourth proportional to 667.92, 922.55 and 472.31 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.92 : 922.55 = 472.31 : x
  2. Step 2: Convert to fraction form
    667.92/922.55 = 472.31/x
  3. Step 3: Cross multiply
    667.92x = 922.55 × 472.31
  4. Step 4: Simplify right side
    667.92x = 435,729.59
  5. Step 5: Solve for x
    x = 435,729.59/667.92
  6. Step 6: Final answer
    x = 652.37

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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.