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Finding the Fourth Proportional to 519.82, 779.90 and 324.95

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Solution

The fourth proportional to 519.82, 779.90 and 324.95 is: 487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 779.90 = 324.95 : x
  2. Step 2: Convert to fraction form
    519.82/779.90 = 324.95/x
  3. Step 3: Cross multiply
    519.82x = 779.90 × 324.95
  4. Step 4: Simplify right side
    519.82x = 253,431.27
  5. Step 5: Solve for x
    x = 253,431.27/519.82
  6. Step 6: Final answer
    x = 487.54

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Why These Related Problems?

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