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Finding the Fourth Proportional to 516.15, 769.75 and 439.61

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Solution

The fourth proportional to 516.15, 769.75 and 439.61 is: 655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.15 : 769.75 = 439.61 : x
  2. Step 2: Convert to fraction form
    516.15/769.75 = 439.61/x
  3. Step 3: Cross multiply
    516.15x = 769.75 × 439.61
  4. Step 4: Simplify right side
    516.15x = 338,384.85
  5. Step 5: Solve for x
    x = 338,384.85/516.15
  6. Step 6: Final answer
    x = 655.59

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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.