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Finding the Fourth Proportional to 1,274.26, 1,757.05 and 801.57

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Solution

The fourth proportional to 1,274.26, 1,757.05 and 801.57 is: 1,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.26 : 1,757.05 = 801.57 : x
  2. Step 2: Convert to fraction form
    1,274.26/1,757.05 = 801.57/x
  3. Step 3: Cross multiply
    1,274.26x = 1,757.05 × 801.57
  4. Step 4: Simplify right side
    1,274.26x = 1,408,394.56
  5. Step 5: Solve for x
    x = 1,408,394.56/1,274.26
  6. Step 6: Final answer
    x = 1,105.27

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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.