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Finding the Fourth Proportional to 517.48, 775.74 and 228.76

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Solution

The fourth proportional to 517.48, 775.74 and 228.76 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 775.74 = 228.76 : x
  2. Step 2: Convert to fraction form
    517.48/775.74 = 228.76/x
  3. Step 3: Cross multiply
    517.48x = 775.74 × 228.76
  4. Step 4: Simplify right side
    517.48x = 177,458.28
  5. Step 5: Solve for x
    x = 177,458.28/517.48
  6. Step 6: Final answer
    x = 342.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.