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Finding the Fourth Proportional to 755.31, 1,042.26 and 519.47

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Solution

The fourth proportional to 755.31, 1,042.26 and 519.47 is: 716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.31 : 1,042.26 = 519.47 : x
  2. Step 2: Convert to fraction form
    755.31/1,042.26 = 519.47/x
  3. Step 3: Cross multiply
    755.31x = 1,042.26 × 519.47
  4. Step 4: Simplify right side
    755.31x = 541,414.99
  5. Step 5: Solve for x
    x = 541,414.99/755.31
  6. Step 6: Final answer
    x = 716.81

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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.