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Finding the Fourth Proportional to 519.84, 779.49 and 227.25

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Solution

The fourth proportional to 519.84, 779.49 and 227.25 is: 340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 779.49 = 227.25 : x
  2. Step 2: Convert to fraction form
    519.84/779.49 = 227.25/x
  3. Step 3: Cross multiply
    519.84x = 779.49 × 227.25
  4. Step 4: Simplify right side
    519.84x = 177,139.10
  5. Step 5: Solve for x
    x = 177,139.10/519.84
  6. Step 6: Final answer
    x = 340.76

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Similar ratio
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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.