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Finding the Fourth Proportional to 519.30, 779.09 and 439.11

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Solution

The fourth proportional to 519.30, 779.09 and 439.11 is: 658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 779.09 = 439.11 : x
  2. Step 2: Convert to fraction form
    519.30/779.09 = 439.11/x
  3. Step 3: Cross multiply
    519.30x = 779.09 × 439.11
  4. Step 4: Simplify right side
    519.30x = 342,104.01
  5. Step 5: Solve for x
    x = 342,104.01/519.30
  6. Step 6: Final answer
    x = 658.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.