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Finding the Fourth Proportional to 638.24, 956.84 and 423.12

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Solution

The fourth proportional to 638.24, 956.84 and 423.12 is: 634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 956.84 = 423.12 : x
  2. Step 2: Convert to fraction form
    638.24/956.84 = 423.12/x
  3. Step 3: Cross multiply
    638.24x = 956.84 × 423.12
  4. Step 4: Simplify right side
    638.24x = 404,858.14
  5. Step 5: Solve for x
    x = 404,858.14/638.24
  6. Step 6: Final answer
    x = 634.34

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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.