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Finding the Fourth Proportional to 736.43, 1,105.13 and 274.27

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Solution

The fourth proportional to 736.43, 1,105.13 and 274.27 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.43 : 1,105.13 = 274.27 : x
  2. Step 2: Convert to fraction form
    736.43/1,105.13 = 274.27/x
  3. Step 3: Cross multiply
    736.43x = 1,105.13 × 274.27
  4. Step 4: Simplify right side
    736.43x = 303,104.01
  5. Step 5: Solve for x
    x = 303,104.01/736.43
  6. Step 6: Final answer
    x = 411.59

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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.