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Finding the Fourth Proportional to 519.62, 779.97 and 382.82

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Solution

The fourth proportional to 519.62, 779.97 and 382.82 is: 574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 779.97 = 382.82 : x
  2. Step 2: Convert to fraction form
    519.62/779.97 = 382.82/x
  3. Step 3: Cross multiply
    519.62x = 779.97 × 382.82
  4. Step 4: Simplify right side
    519.62x = 298,588.12
  5. Step 5: Solve for x
    x = 298,588.12/519.62
  6. Step 6: Final answer
    x = 574.63

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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.