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Finding the Fourth Proportional to 425.75, 638.54 and 117.63

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Solution

The fourth proportional to 425.75, 638.54 and 117.63 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 638.54 = 117.63 : x
  2. Step 2: Convert to fraction form
    425.75/638.54 = 117.63/x
  3. Step 3: Cross multiply
    425.75x = 638.54 × 117.63
  4. Step 4: Simplify right side
    425.75x = 75,110.87
  5. Step 5: Solve for x
    x = 75,110.87/425.75
  6. Step 6: Final answer
    x = 176.42

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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.