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Finding the Fourth Proportional to 640.27, 959.16 and 331.66

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Solution

The fourth proportional to 640.27, 959.16 and 331.66 is: 496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.27 : 959.16 = 331.66 : x
  2. Step 2: Convert to fraction form
    640.27/959.16 = 331.66/x
  3. Step 3: Cross multiply
    640.27x = 959.16 × 331.66
  4. Step 4: Simplify right side
    640.27x = 318,115.01
  5. Step 5: Solve for x
    x = 318,115.01/640.27
  6. Step 6: Final answer
    x = 496.85

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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.