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Finding the Fourth Proportional to 514.92, 771.14 and 361

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Solution

The fourth proportional to 514.92, 771.14 and 361 is: 540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 771.14 = 361 : x
  2. Step 2: Convert to fraction form
    514.92/771.14 = 361/x
  3. Step 3: Cross multiply
    514.92x = 771.14 × 361
  4. Step 4: Simplify right side
    514.92x = 278,381.54
  5. Step 5: Solve for x
    x = 278,381.54/514.92
  6. Step 6: Final answer
    x = 540.63

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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.