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Finding the Fourth Proportional to 516.65, 769.91 and 499.23

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Solution

The fourth proportional to 516.65, 769.91 and 499.23 is: 743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 769.91 = 499.23 : x
  2. Step 2: Convert to fraction form
    516.65/769.91 = 499.23/x
  3. Step 3: Cross multiply
    516.65x = 769.91 × 499.23
  4. Step 4: Simplify right side
    516.65x = 384,359.67
  5. Step 5: Solve for x
    x = 384,359.67/516.65
  6. Step 6: Final answer
    x = 743.95

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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.