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Finding the Fourth Proportional to 754.85, 1,042.57 and 667.37

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Solution

The fourth proportional to 754.85, 1,042.57 and 667.37 is: 921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.85 : 1,042.57 = 667.37 : x
  2. Step 2: Convert to fraction form
    754.85/1,042.57 = 667.37/x
  3. Step 3: Cross multiply
    754.85x = 1,042.57 × 667.37
  4. Step 4: Simplify right side
    754.85x = 695,783.38
  5. Step 5: Solve for x
    x = 695,783.38/754.85
  6. Step 6: Final answer
    x = 921.75

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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.