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Finding the Fourth Proportional to 737.82, 1,107.18 and 327.15

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Solution

The fourth proportional to 737.82, 1,107.18 and 327.15 is: 490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.82 : 1,107.18 = 327.15 : x
  2. Step 2: Convert to fraction form
    737.82/1,107.18 = 327.15/x
  3. Step 3: Cross multiply
    737.82x = 1,107.18 × 327.15
  4. Step 4: Simplify right side
    737.82x = 362,213.94
  5. Step 5: Solve for x
    x = 362,213.94/737.82
  6. Step 6: Final answer
    x = 490.92

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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.