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Finding the Fourth Proportional to 519.62, 780.44 and 382.12

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Solution

The fourth proportional to 519.62, 780.44 and 382.12 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 780.44 = 382.12 : x
  2. Step 2: Convert to fraction form
    519.62/780.44 = 382.12/x
  3. Step 3: Cross multiply
    519.62x = 780.44 × 382.12
  4. Step 4: Simplify right side
    519.62x = 298,217.87
  5. Step 5: Solve for x
    x = 298,217.87/519.62
  6. Step 6: Final answer
    x = 573.92

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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.