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Finding the Fourth Proportional to 1,255.20, 1,731.98 and 813.04

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Solution

The fourth proportional to 1,255.20, 1,731.98 and 813.04 is: 1,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.20 : 1,731.98 = 813.04 : x
  2. Step 2: Convert to fraction form
    1,255.20/1,731.98 = 813.04/x
  3. Step 3: Cross multiply
    1,255.20x = 1,731.98 × 813.04
  4. Step 4: Simplify right side
    1,255.20x = 1,408,166.72
  5. Step 5: Solve for x
    x = 1,408,166.72/1,255.20
  6. Step 6: Final answer
    x = 1,121.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.