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Finding the Fourth Proportional to 542.93, 809.06 and 516.80

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Solution

The fourth proportional to 542.93, 809.06 and 516.80 is: 770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 809.06 = 516.80 : x
  2. Step 2: Convert to fraction form
    542.93/809.06 = 516.80/x
  3. Step 3: Cross multiply
    542.93x = 809.06 × 516.80
  4. Step 4: Simplify right side
    542.93x = 418,121.65
  5. Step 5: Solve for x
    x = 418,121.65/542.93
  6. Step 6: Final answer
    x = 770.13

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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.