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Finding the Fourth Proportional to 577.79, 862.25 and 516.28

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Solution

The fourth proportional to 577.79, 862.25 and 516.28 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.79 : 862.25 = 516.28 : x
  2. Step 2: Convert to fraction form
    577.79/862.25 = 516.28/x
  3. Step 3: Cross multiply
    577.79x = 862.25 × 516.28
  4. Step 4: Simplify right side
    577.79x = 445,162.43
  5. Step 5: Solve for x
    x = 445,162.43/577.79
  6. Step 6: Final answer
    x = 770.46

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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.