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Finding the Fourth Proportional to 1,396.30, 2,092.05 and 737.20

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Solution

The fourth proportional to 1,396.30, 2,092.05 and 737.20 is: 1,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.30 : 2,092.05 = 737.20 : x
  2. Step 2: Convert to fraction form
    1,396.30/2,092.05 = 737.20/x
  3. Step 3: Cross multiply
    1,396.30x = 2,092.05 × 737.20
  4. Step 4: Simplify right side
    1,396.30x = 1,542,259.26
  5. Step 5: Solve for x
    x = 1,542,259.26/1,396.30
  6. Step 6: Final answer
    x = 1,104.53

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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.