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Finding the Fourth Proportional to 765.47, 1,147.87 and 326.92

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Solution

The fourth proportional to 765.47, 1,147.87 and 326.92 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,147.87 = 326.92 : x
  2. Step 2: Convert to fraction form
    765.47/1,147.87 = 326.92/x
  3. Step 3: Cross multiply
    765.47x = 1,147.87 × 326.92
  4. Step 4: Simplify right side
    765.47x = 375,261.66
  5. Step 5: Solve for x
    x = 375,261.66/765.47
  6. Step 6: Final answer
    x = 490.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.