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Finding the Fourth Proportional to 543.36, 809.50 and 516.70

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Solution

The fourth proportional to 543.36, 809.50 and 516.70 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 809.50 = 516.70 : x
  2. Step 2: Convert to fraction form
    543.36/809.50 = 516.70/x
  3. Step 3: Cross multiply
    543.36x = 809.50 × 516.70
  4. Step 4: Simplify right side
    543.36x = 418,268.65
  5. Step 5: Solve for x
    x = 418,268.65/543.36
  6. Step 6: Final answer
    x = 769.78

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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.