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Finding the Fourth Proportional to 1,321.16, 1,983.54 and 744.44

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Solution

The fourth proportional to 1,321.16, 1,983.54 and 744.44 is: 1,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.16 : 1,983.54 = 744.44 : x
  2. Step 2: Convert to fraction form
    1,321.16/1,983.54 = 744.44/x
  3. Step 3: Cross multiply
    1,321.16x = 1,983.54 × 744.44
  4. Step 4: Simplify right side
    1,321.16x = 1,476,626.52
  5. Step 5: Solve for x
    x = 1,476,626.52/1,321.16
  6. Step 6: Final answer
    x = 1,117.67

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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.