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Finding the Fourth Proportional to 1,271.42, 1,754.56 and 747.44

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Solution

The fourth proportional to 1,271.42, 1,754.56 and 747.44 is: 1,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.42 : 1,754.56 = 747.44 : x
  2. Step 2: Convert to fraction form
    1,271.42/1,754.56 = 747.44/x
  3. Step 3: Cross multiply
    1,271.42x = 1,754.56 × 747.44
  4. Step 4: Simplify right side
    1,271.42x = 1,311,428.33
  5. Step 5: Solve for x
    x = 1,311,428.33/1,271.42
  6. Step 6: Final answer
    x = 1,031.47

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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.