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Finding the Fourth Proportional to 514.50, 771.18 and 338.73

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Solution

The fourth proportional to 514.50, 771.18 and 338.73 is: 507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 771.18 = 338.73 : x
  2. Step 2: Convert to fraction form
    514.50/771.18 = 338.73/x
  3. Step 3: Cross multiply
    514.50x = 771.18 × 338.73
  4. Step 4: Simplify right side
    514.50x = 261,221.80
  5. Step 5: Solve for x
    x = 261,221.80/514.50
  6. Step 6: Final answer
    x = 507.72

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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.