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Finding the Fourth Proportional to 1,271.72, 1,906.07 and 723.15

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Solution

The fourth proportional to 1,271.72, 1,906.07 and 723.15 is: 1,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.72 : 1,906.07 = 723.15 : x
  2. Step 2: Convert to fraction form
    1,271.72/1,906.07 = 723.15/x
  3. Step 3: Cross multiply
    1,271.72x = 1,906.07 × 723.15
  4. Step 4: Simplify right side
    1,271.72x = 1,378,370.90
  5. Step 5: Solve for x
    x = 1,378,370.90/1,271.72
  6. Step 6: Final answer
    x = 1,083.86

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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.