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Finding the Fourth Proportional to 667.52, 921.68 and 537.12

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Solution

The fourth proportional to 667.52, 921.68 and 537.12 is: 741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 921.68 = 537.12 : x
  2. Step 2: Convert to fraction form
    667.52/921.68 = 537.12/x
  3. Step 3: Cross multiply
    667.52x = 921.68 × 537.12
  4. Step 4: Simplify right side
    667.52x = 495,052.76
  5. Step 5: Solve for x
    x = 495,052.76/667.52
  6. Step 6: Final answer
    x = 741.63

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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.