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Finding the Fourth Proportional to 519.13, 779.01 and 226.58

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Solution

The fourth proportional to 519.13, 779.01 and 226.58 is: 340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.13 : 779.01 = 226.58 : x
  2. Step 2: Convert to fraction form
    519.13/779.01 = 226.58/x
  3. Step 3: Cross multiply
    519.13x = 779.01 × 226.58
  4. Step 4: Simplify right side
    519.13x = 176,508.09
  5. Step 5: Solve for x
    x = 176,508.09/519.13
  6. Step 6: Final answer
    x = 340.01

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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.