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Finding the Fourth Proportional to 516.60, 769.50 and 514.80

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Solution

The fourth proportional to 516.60, 769.50 and 514.80 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 769.50 = 514.80 : x
  2. Step 2: Convert to fraction form
    516.60/769.50 = 514.80/x
  3. Step 3: Cross multiply
    516.60x = 769.50 × 514.80
  4. Step 4: Simplify right side
    516.60x = 396,138.60
  5. Step 5: Solve for x
    x = 396,138.60/516.60
  6. Step 6: Final answer
    x = 766.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.