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Finding the Fourth Proportional to 638.01, 956.80 and 329.82

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Solution

The fourth proportional to 638.01, 956.80 and 329.82 is: 494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.01 : 956.80 = 329.82 : x
  2. Step 2: Convert to fraction form
    638.01/956.80 = 329.82/x
  3. Step 3: Cross multiply
    638.01x = 956.80 × 329.82
  4. Step 4: Simplify right side
    638.01x = 315,571.78
  5. Step 5: Solve for x
    x = 315,571.78/638.01
  6. Step 6: Final answer
    x = 494.62

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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.