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Finding the Fourth Proportional to 767.52, 1,149.94 and 516.88

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Solution

The fourth proportional to 767.52, 1,149.94 and 516.88 is: 774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.52 : 1,149.94 = 516.88 : x
  2. Step 2: Convert to fraction form
    767.52/1,149.94 = 516.88/x
  3. Step 3: Cross multiply
    767.52x = 1,149.94 × 516.88
  4. Step 4: Simplify right side
    767.52x = 594,380.99
  5. Step 5: Solve for x
    x = 594,380.99/767.52
  6. Step 6: Final answer
    x = 774.42

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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.