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Finding the Fourth Proportional to 1,271.22, 1,908.20 and 531.34

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Solution

The fourth proportional to 1,271.22, 1,908.20 and 531.34 is: 797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.22 : 1,908.20 = 531.34 : x
  2. Step 2: Convert to fraction form
    1,271.22/1,908.20 = 531.34/x
  3. Step 3: Cross multiply
    1,271.22x = 1,908.20 × 531.34
  4. Step 4: Simplify right side
    1,271.22x = 1,013,902.52
  5. Step 5: Solve for x
    x = 1,013,902.52/1,271.22
  6. Step 6: Final answer
    x = 797.58

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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.