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Finding the Fourth Proportional to 765.91, 1,149.41 and 592.98

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Solution

The fourth proportional to 765.91, 1,149.41 and 592.98 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.91 : 1,149.41 = 592.98 : x
  2. Step 2: Convert to fraction form
    765.91/1,149.41 = 592.98/x
  3. Step 3: Cross multiply
    765.91x = 1,149.41 × 592.98
  4. Step 4: Simplify right side
    765.91x = 681,577.14
  5. Step 5: Solve for x
    x = 681,577.14/765.91
  6. Step 6: Final answer
    x = 889.89

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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.