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Finding the Fourth Proportional to 757.43, 1,045.25 and 442.71

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Solution

The fourth proportional to 757.43, 1,045.25 and 442.71 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.43 : 1,045.25 = 442.71 : x
  2. Step 2: Convert to fraction form
    757.43/1,045.25 = 442.71/x
  3. Step 3: Cross multiply
    757.43x = 1,045.25 × 442.71
  4. Step 4: Simplify right side
    757.43x = 462,743.73
  5. Step 5: Solve for x
    x = 462,743.73/757.43
  6. Step 6: Final answer
    x = 610.94

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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.