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Finding the Fourth Proportional to 757.25, 1,044.44 and 462.31

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Solution

The fourth proportional to 757.25, 1,044.44 and 462.31 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.25 : 1,044.44 = 462.31 : x
  2. Step 2: Convert to fraction form
    757.25/1,044.44 = 462.31/x
  3. Step 3: Cross multiply
    757.25x = 1,044.44 × 462.31
  4. Step 4: Simplify right side
    757.25x = 482,854.47
  5. Step 5: Solve for x
    x = 482,854.47/757.25
  6. Step 6: Final answer
    x = 637.64

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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.