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Finding the Fourth Proportional to 519.13, 779.06 and 230.41

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Solution

The fourth proportional to 519.13, 779.06 and 230.41 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.13 : 779.06 = 230.41 : x
  2. Step 2: Convert to fraction form
    519.13/779.06 = 230.41/x
  3. Step 3: Cross multiply
    519.13x = 779.06 × 230.41
  4. Step 4: Simplify right side
    519.13x = 179,503.21
  5. Step 5: Solve for x
    x = 179,503.21/519.13
  6. Step 6: Final answer
    x = 345.78

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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.