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Finding the Fourth Proportional to 519.43, 779.43 and 230.86

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Solution

The fourth proportional to 519.43, 779.43 and 230.86 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.43 : 779.43 = 230.86 : x
  2. Step 2: Convert to fraction form
    519.43/779.43 = 230.86/x
  3. Step 3: Cross multiply
    519.43x = 779.43 × 230.86
  4. Step 4: Simplify right side
    519.43x = 179,939.21
  5. Step 5: Solve for x
    x = 179,939.21/519.43
  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.