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Finding the Fourth Proportional to 517.31, 777.38 and 274

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Solution

The fourth proportional to 517.31, 777.38 and 274 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 777.38 = 274 : x
  2. Step 2: Convert to fraction form
    517.31/777.38 = 274/x
  3. Step 3: Cross multiply
    517.31x = 777.38 × 274
  4. Step 4: Simplify right side
    517.31x = 213,002.12
  5. Step 5: Solve for x
    x = 213,002.12/517.31
  6. Step 6: Final answer
    x = 411.75

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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.