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Finding the Fourth Proportional to 755.38, 1,042.17 and 423.74

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Solution

The fourth proportional to 755.38, 1,042.17 and 423.74 is: 584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.38 : 1,042.17 = 423.74 : x
  2. Step 2: Convert to fraction form
    755.38/1,042.17 = 423.74/x
  3. Step 3: Cross multiply
    755.38x = 1,042.17 × 423.74
  4. Step 4: Simplify right side
    755.38x = 441,610.78
  5. Step 5: Solve for x
    x = 441,610.78/755.38
  6. Step 6: Final answer
    x = 584.62

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1.5x scale

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.