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Finding the Fourth Proportional to 577.12, 861.24 and 515.60

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Solution

The fourth proportional to 577.12, 861.24 and 515.60 is: 769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 861.24 = 515.60 : x
  2. Step 2: Convert to fraction form
    577.12/861.24 = 515.60/x
  3. Step 3: Cross multiply
    577.12x = 861.24 × 515.60
  4. Step 4: Simplify right side
    577.12x = 444,055.34
  5. Step 5: Solve for x
    x = 444,055.34/577.12
  6. Step 6: Final answer
    x = 769.43

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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.