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Finding the Fourth Proportional to 517.78, 776.26 and 228.61

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Solution

The fourth proportional to 517.78, 776.26 and 228.61 is: 342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 776.26 = 228.61 : x
  2. Step 2: Convert to fraction form
    517.78/776.26 = 228.61/x
  3. Step 3: Cross multiply
    517.78x = 776.26 × 228.61
  4. Step 4: Simplify right side
    517.78x = 177,460.80
  5. Step 5: Solve for x
    x = 177,460.80/517.78
  6. Step 6: Final answer
    x = 342.73

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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.