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Finding the Fourth Proportional to 516.24, 769.68 and 511.98

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Solution

The fourth proportional to 516.24, 769.68 and 511.98 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 769.68 = 511.98 : x
  2. Step 2: Convert to fraction form
    516.24/769.68 = 511.98/x
  3. Step 3: Cross multiply
    516.24x = 769.68 × 511.98
  4. Step 4: Simplify right side
    516.24x = 394,060.77
  5. Step 5: Solve for x
    x = 394,060.77/516.24
  6. Step 6: Final answer
    x = 763.33

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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.