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Finding the Fourth Proportional to 638.97, 958.44 and 263.64

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Solution

The fourth proportional to 638.97, 958.44 and 263.64 is: 395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.97 : 958.44 = 263.64 : x
  2. Step 2: Convert to fraction form
    638.97/958.44 = 263.64/x
  3. Step 3: Cross multiply
    638.97x = 958.44 × 263.64
  4. Step 4: Simplify right side
    638.97x = 252,683.12
  5. Step 5: Solve for x
    x = 252,683.12/638.97
  6. Step 6: Final answer
    x = 395.45

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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.