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Finding the Fourth Proportional to 516.92, 772.86 and 440.78

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Solution

The fourth proportional to 516.92, 772.86 and 440.78 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 772.86 = 440.78 : x
  2. Step 2: Convert to fraction form
    516.92/772.86 = 440.78/x
  3. Step 3: Cross multiply
    516.92x = 772.86 × 440.78
  4. Step 4: Simplify right side
    516.92x = 340,661.23
  5. Step 5: Solve for x
    x = 340,661.23/516.92
  6. Step 6: Final answer
    x = 659.02

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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.