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Finding the Fourth Proportional to 755.33, 1,042.00 and 475.43

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Solution

The fourth proportional to 755.33, 1,042.00 and 475.43 is: 655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.33 : 1,042.00 = 475.43 : x
  2. Step 2: Convert to fraction form
    755.33/1,042.00 = 475.43/x
  3. Step 3: Cross multiply
    755.33x = 1,042.00 × 475.43
  4. Step 4: Simplify right side
    755.33x = 495,391.66
  5. Step 5: Solve for x
    x = 495,391.66/755.33
  6. Step 6: Final answer
    x = 655.87

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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.