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Finding the Fourth Proportional to 765.77, 1,147.17 and 457.87

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Solution

The fourth proportional to 765.77, 1,147.17 and 457.87 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.77 : 1,147.17 = 457.87 : x
  2. Step 2: Convert to fraction form
    765.77/1,147.17 = 457.87/x
  3. Step 3: Cross multiply
    765.77x = 1,147.17 × 457.87
  4. Step 4: Simplify right side
    765.77x = 525,248.99
  5. Step 5: Solve for x
    x = 525,248.99/765.77
  6. Step 6: Final answer
    x = 685.91

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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.