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Finding the Fourth Proportional to 640.62, 961.97 and 433.71

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Solution

The fourth proportional to 640.62, 961.97 and 433.71 is: 651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.62 : 961.97 = 433.71 : x
  2. Step 2: Convert to fraction form
    640.62/961.97 = 433.71/x
  3. Step 3: Cross multiply
    640.62x = 961.97 × 433.71
  4. Step 4: Simplify right side
    640.62x = 417,213.84
  5. Step 5: Solve for x
    x = 417,213.84/640.62
  6. Step 6: Final answer
    x = 651.27

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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.