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Finding the Fourth Proportional to 2,265.39, 3,398.09 and 727.47

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Solution

The fourth proportional to 2,265.39, 3,398.09 and 727.47 is: 1,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.39 : 3,398.09 = 727.47 : x
  2. Step 2: Convert to fraction form
    2,265.39/3,398.09 = 727.47/x
  3. Step 3: Cross multiply
    2,265.39x = 3,398.09 × 727.47
  4. Step 4: Simplify right side
    2,265.39x = 2,472,004.89
  5. Step 5: Solve for x
    x = 2,472,004.89/2,265.39
  6. Step 6: Final answer
    x = 1,091.21

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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.