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Finding the Fourth Proportional to 519.46, 779.28 and 230.92

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Solution

The fourth proportional to 519.46, 779.28 and 230.92 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 779.28 = 230.92 : x
  2. Step 2: Convert to fraction form
    519.46/779.28 = 230.92/x
  3. Step 3: Cross multiply
    519.46x = 779.28 × 230.92
  4. Step 4: Simplify right side
    519.46x = 179,951.34
  5. Step 5: Solve for x
    x = 179,951.34/519.46
  6. Step 6: Final answer
    x = 346.42

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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.