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Finding the Fourth Proportional to 1,265.35, 1,747.26 and 794.04

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Solution

The fourth proportional to 1,265.35, 1,747.26 and 794.04 is: 1,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.35 : 1,747.26 = 794.04 : x
  2. Step 2: Convert to fraction form
    1,265.35/1,747.26 = 794.04/x
  3. Step 3: Cross multiply
    1,265.35x = 1,747.26 × 794.04
  4. Step 4: Simplify right side
    1,265.35x = 1,387,394.33
  5. Step 5: Solve for x
    x = 1,387,394.33/1,265.35
  6. Step 6: Final answer
    x = 1,096.45

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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.