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Finding the Fourth Proportional to 757.69, 1,045.61 and 462.92

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Solution

The fourth proportional to 757.69, 1,045.61 and 462.92 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,045.61 = 462.92 : x
  2. Step 2: Convert to fraction form
    757.69/1,045.61 = 462.92/x
  3. Step 3: Cross multiply
    757.69x = 1,045.61 × 462.92
  4. Step 4: Simplify right side
    757.69x = 484,027.97
  5. Step 5: Solve for x
    x = 484,027.97/757.69
  6. Step 6: Final answer
    x = 638.82

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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.