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Finding the Fourth Proportional to 519.98, 779.99 and 154.78

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Solution

The fourth proportional to 519.98, 779.99 and 154.78 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.98 : 779.99 = 154.78 : x
  2. Step 2: Convert to fraction form
    519.98/779.99 = 154.78/x
  3. Step 3: Cross multiply
    519.98x = 779.99 × 154.78
  4. Step 4: Simplify right side
    519.98x = 120,724.13
  5. Step 5: Solve for x
    x = 120,724.13/519.98
  6. Step 6: Final answer
    x = 232.17

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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.