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Finding the Fourth Proportional to 636.11, 954.15 and 327.78

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Solution

The fourth proportional to 636.11, 954.15 and 327.78 is: 491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.11 : 954.15 = 327.78 : x
  2. Step 2: Convert to fraction form
    636.11/954.15 = 327.78/x
  3. Step 3: Cross multiply
    636.11x = 954.15 × 327.78
  4. Step 4: Simplify right side
    636.11x = 312,751.29
  5. Step 5: Solve for x
    x = 312,751.29/636.11
  6. Step 6: Final answer
    x = 491.67

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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.