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Finding the Fourth Proportional to 519.49, 779.38 and 227.06

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Solution

The fourth proportional to 519.49, 779.38 and 227.06 is: 340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 779.38 = 227.06 : x
  2. Step 2: Convert to fraction form
    519.49/779.38 = 227.06/x
  3. Step 3: Cross multiply
    519.49x = 779.38 × 227.06
  4. Step 4: Simplify right side
    519.49x = 176,960.99
  5. Step 5: Solve for x
    x = 176,960.99/519.49
  6. Step 6: Final answer
    x = 340.64

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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.