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Finding the Fourth Proportional to 755.11, 1,042.01 and 506.39

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Solution

The fourth proportional to 755.11, 1,042.01 and 506.39 is: 698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.11 : 1,042.01 = 506.39 : x
  2. Step 2: Convert to fraction form
    755.11/1,042.01 = 506.39/x
  3. Step 3: Cross multiply
    755.11x = 1,042.01 × 506.39
  4. Step 4: Simplify right side
    755.11x = 527,660.91
  5. Step 5: Solve for x
    x = 527,660.91/755.11
  6. Step 6: Final answer
    x = 698.79

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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.