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Finding the Fourth Proportional to 519.12, 779 and 326.80

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Solution

The fourth proportional to 519.12, 779 and 326.80 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 779 = 326.80 : x
  2. Step 2: Convert to fraction form
    519.12/779 = 326.80/x
  3. Step 3: Cross multiply
    519.12x = 779 × 326.80
  4. Step 4: Simplify right side
    519.12x = 254,577.20
  5. Step 5: Solve for x
    x = 254,577.20/519.12
  6. Step 6: Final answer
    x = 490.40

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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.