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Finding the Fourth Proportional to 1,271.22, 1,906.96 and 531.21

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Solution

The fourth proportional to 1,271.22, 1,906.96 and 531.21 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.22 : 1,906.96 = 531.21 : x
  2. Step 2: Convert to fraction form
    1,271.22/1,906.96 = 531.21/x
  3. Step 3: Cross multiply
    1,271.22x = 1,906.96 × 531.21
  4. Step 4: Simplify right side
    1,271.22x = 1,012,996.22
  5. Step 5: Solve for x
    x = 1,012,996.22/1,271.22
  6. Step 6: Final answer
    x = 796.87

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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.