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Finding the Fourth Proportional to 519.78, 779.76 and 154.53

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Solution

The fourth proportional to 519.78, 779.76 and 154.53 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 779.76 = 154.53 : x
  2. Step 2: Convert to fraction form
    519.78/779.76 = 154.53/x
  3. Step 3: Cross multiply
    519.78x = 779.76 × 154.53
  4. Step 4: Simplify right side
    519.78x = 120,496.31
  5. Step 5: Solve for x
    x = 120,496.31/519.78
  6. Step 6: Final answer
    x = 231.82

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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.