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Finding the Fourth Proportional to 517.78, 775.86 and 228.61

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Solution

The fourth proportional to 517.78, 775.86 and 228.61 is: 342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 775.86 = 228.61 : x
  2. Step 2: Convert to fraction form
    517.78/775.86 = 228.61/x
  3. Step 3: Cross multiply
    517.78x = 775.86 × 228.61
  4. Step 4: Simplify right side
    517.78x = 177,369.35
  5. Step 5: Solve for x
    x = 177,369.35/517.78
  6. Step 6: Final answer
    x = 342.56

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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.