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Finding the Fourth Proportional to 667.08, 919.89 and 542.75

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Solution

The fourth proportional to 667.08, 919.89 and 542.75 is: 748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 919.89 = 542.75 : x
  2. Step 2: Convert to fraction form
    667.08/919.89 = 542.75/x
  3. Step 3: Cross multiply
    667.08x = 919.89 × 542.75
  4. Step 4: Simplify right side
    667.08x = 499,265.70
  5. Step 5: Solve for x
    x = 499,265.70/667.08
  6. Step 6: Final answer
    x = 748.43

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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.