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Finding the Fourth Proportional to 577.86, 862.34 and 516.35

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Solution

The fourth proportional to 577.86, 862.34 and 516.35 is: 770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.86 : 862.34 = 516.35 : x
  2. Step 2: Convert to fraction form
    577.86/862.34 = 516.35/x
  3. Step 3: Cross multiply
    577.86x = 862.34 × 516.35
  4. Step 4: Simplify right side
    577.86x = 445,264.30
  5. Step 5: Solve for x
    x = 445,264.30/577.86
  6. Step 6: Final answer
    x = 770.55

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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.