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Finding the Fourth Proportional to 517.10, 775.68 and 228.54

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Solution

The fourth proportional to 517.10, 775.68 and 228.54 is: 342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 775.68 = 228.54 : x
  2. Step 2: Convert to fraction form
    517.10/775.68 = 228.54/x
  3. Step 3: Cross multiply
    517.10x = 775.68 × 228.54
  4. Step 4: Simplify right side
    517.10x = 177,273.91
  5. Step 5: Solve for x
    x = 177,273.91/517.10
  6. Step 6: Final answer
    x = 342.82

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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.