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Finding the Fourth Proportional to 1,271.36, 1,906.42 and 449.52

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Solution

The fourth proportional to 1,271.36, 1,906.42 and 449.52 is: 674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.36 : 1,906.42 = 449.52 : x
  2. Step 2: Convert to fraction form
    1,271.36/1,906.42 = 449.52/x
  3. Step 3: Cross multiply
    1,271.36x = 1,906.42 × 449.52
  4. Step 4: Simplify right side
    1,271.36x = 856,973.92
  5. Step 5: Solve for x
    x = 856,973.92/1,271.36
  6. Step 6: Final answer
    x = 674.06

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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.