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Finding the Fourth Proportional to 519.32, 773.09 and 516.57

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Solution

The fourth proportional to 519.32, 773.09 and 516.57 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 773.09 = 516.57 : x
  2. Step 2: Convert to fraction form
    519.32/773.09 = 516.57/x
  3. Step 3: Cross multiply
    519.32x = 773.09 × 516.57
  4. Step 4: Simplify right side
    519.32x = 399,352.52
  5. Step 5: Solve for x
    x = 399,352.52/519.32
  6. Step 6: Final answer
    x = 769.00

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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.