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Finding the Fourth Proportional to 755.73, 1,042.97 and 424.22

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Solution

The fourth proportional to 755.73, 1,042.97 and 424.22 is: 585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.73 : 1,042.97 = 424.22 : x
  2. Step 2: Convert to fraction form
    755.73/1,042.97 = 424.22/x
  3. Step 3: Cross multiply
    755.73x = 1,042.97 × 424.22
  4. Step 4: Simplify right side
    755.73x = 442,448.73
  5. Step 5: Solve for x
    x = 442,448.73/755.73
  6. Step 6: Final answer
    x = 585.46

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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.