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Finding the Fourth Proportional to 519.49, 779.22 and 154.28

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Solution

The fourth proportional to 519.49, 779.22 and 154.28 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 779.22 = 154.28 : x
  2. Step 2: Convert to fraction form
    519.49/779.22 = 154.28/x
  3. Step 3: Cross multiply
    519.49x = 779.22 × 154.28
  4. Step 4: Simplify right side
    519.49x = 120,218.06
  5. Step 5: Solve for x
    x = 120,218.06/519.49
  6. Step 6: Final answer
    x = 231.42

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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.