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Finding the Fourth Proportional to 636.57, 954.54 and 327.96

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Solution

The fourth proportional to 636.57, 954.54 and 327.96 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.57 : 954.54 = 327.96 : x
  2. Step 2: Convert to fraction form
    636.57/954.54 = 327.96/x
  3. Step 3: Cross multiply
    636.57x = 954.54 × 327.96
  4. Step 4: Simplify right side
    636.57x = 313,050.94
  5. Step 5: Solve for x
    x = 313,050.94/636.57
  6. Step 6: Final answer
    x = 491.78

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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.