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Finding the Fourth Proportional to 1,321.75, 1,983.27 and 737.19

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Solution

The fourth proportional to 1,321.75, 1,983.27 and 737.19 is: 1,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.75 : 1,983.27 = 737.19 : x
  2. Step 2: Convert to fraction form
    1,321.75/1,983.27 = 737.19/x
  3. Step 3: Cross multiply
    1,321.75x = 1,983.27 × 737.19
  4. Step 4: Simplify right side
    1,321.75x = 1,462,049.58
  5. Step 5: Solve for x
    x = 1,462,049.58/1,321.75
  6. Step 6: Final answer
    x = 1,106.15

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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.