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Finding the Fourth Proportional to 737.22, 1,105.19 and 298.20

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Solution

The fourth proportional to 737.22, 1,105.19 and 298.20 is: 447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.22 : 1,105.19 = 298.20 : x
  2. Step 2: Convert to fraction form
    737.22/1,105.19 = 298.20/x
  3. Step 3: Cross multiply
    737.22x = 1,105.19 × 298.20
  4. Step 4: Simplify right side
    737.22x = 329,566.17
  5. Step 5: Solve for x
    x = 329,566.17/737.22
  6. Step 6: Final answer
    x = 447.04

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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.