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Finding the Fourth Proportional to 577.71, 862.13 and 516.20

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Solution

The fourth proportional to 577.71, 862.13 and 516.20 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.71 : 862.13 = 516.20 : x
  2. Step 2: Convert to fraction form
    577.71/862.13 = 516.20/x
  3. Step 3: Cross multiply
    577.71x = 862.13 × 516.20
  4. Step 4: Simplify right side
    577.71x = 445,024.61
  5. Step 5: Solve for x
    x = 445,024.61/577.71
  6. Step 6: Final answer
    x = 770.33

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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.