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Finding the Fourth Proportional to 577.36, 861.61 and 515.84

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Solution

The fourth proportional to 577.36, 861.61 and 515.84 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 861.61 = 515.84 : x
  2. Step 2: Convert to fraction form
    577.36/861.61 = 515.84/x
  3. Step 3: Cross multiply
    577.36x = 861.61 × 515.84
  4. Step 4: Simplify right side
    577.36x = 444,452.90
  5. Step 5: Solve for x
    x = 444,452.90/577.36
  6. Step 6: Final answer
    x = 769.80

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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.