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Finding the Fourth Proportional to 519.11, 774.97 and 441.25

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Solution

The fourth proportional to 519.11, 774.97 and 441.25 is: 658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.11 : 774.97 = 441.25 : x
  2. Step 2: Convert to fraction form
    519.11/774.97 = 441.25/x
  3. Step 3: Cross multiply
    519.11x = 774.97 × 441.25
  4. Step 4: Simplify right side
    519.11x = 341,952.47
  5. Step 5: Solve for x
    x = 341,952.47/519.11
  6. Step 6: Final answer
    x = 658.73

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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.