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Finding the Fourth Proportional to 450.10, 674.34 and 440.38

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Solution

The fourth proportional to 450.10, 674.34 and 440.38 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.10 : 674.34 = 440.38 : x
  2. Step 2: Convert to fraction form
    450.10/674.34 = 440.38/x
  3. Step 3: Cross multiply
    450.10x = 674.34 × 440.38
  4. Step 4: Simplify right side
    450.10x = 296,965.85
  5. Step 5: Solve for x
    x = 296,965.85/450.10
  6. Step 6: Final answer
    x = 659.78

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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.