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Finding the Fourth Proportional to 516.43, 767.61 and 502.80

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Solution

The fourth proportional to 516.43, 767.61 and 502.80 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.43 : 767.61 = 502.80 : x
  2. Step 2: Convert to fraction form
    516.43/767.61 = 502.80/x
  3. Step 3: Cross multiply
    516.43x = 767.61 × 502.80
  4. Step 4: Simplify right side
    516.43x = 385,954.31
  5. Step 5: Solve for x
    x = 385,954.31/516.43
  6. Step 6: Final answer
    x = 747.35

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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.