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Finding the Fourth Proportional to 577.23, 861.41 and 515.72

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Solution

The fourth proportional to 577.23, 861.41 and 515.72 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.23 : 861.41 = 515.72 : x
  2. Step 2: Convert to fraction form
    577.23/861.41 = 515.72/x
  3. Step 3: Cross multiply
    577.23x = 861.41 × 515.72
  4. Step 4: Simplify right side
    577.23x = 444,246.37
  5. Step 5: Solve for x
    x = 444,246.37/577.23
  6. Step 6: Final answer
    x = 769.62

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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.