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Finding the Fourth Proportional to 519.71, 717.15 and 286.82

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Solution

The fourth proportional to 519.71, 717.15 and 286.82 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 717.15 = 286.82 : x
  2. Step 2: Convert to fraction form
    519.71/717.15 = 286.82/x
  3. Step 3: Cross multiply
    519.71x = 717.15 × 286.82
  4. Step 4: Simplify right side
    519.71x = 205,692.96
  5. Step 5: Solve for x
    x = 205,692.96/519.71
  6. Step 6: Final answer
    x = 395.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.