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Finding the Fourth Proportional to 516.25, 769.78 and 509.87

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Solution

The fourth proportional to 516.25, 769.78 and 509.87 is: 760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.25 : 769.78 = 509.87 : x
  2. Step 2: Convert to fraction form
    516.25/769.78 = 509.87/x
  3. Step 3: Cross multiply
    516.25x = 769.78 × 509.87
  4. Step 4: Simplify right side
    516.25x = 392,488.38
  5. Step 5: Solve for x
    x = 392,488.38/516.25
  6. Step 6: Final answer
    x = 760.27

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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.