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Finding the Fourth Proportional to 1,091.71, 1,638.60 and 726.75

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Solution

The fourth proportional to 1,091.71, 1,638.60 and 726.75 is: 1,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.71 : 1,638.60 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,091.71/1,638.60 = 726.75/x
  3. Step 3: Cross multiply
    1,091.71x = 1,638.60 × 726.75
  4. Step 4: Simplify right side
    1,091.71x = 1,190,855.97
  5. Step 5: Solve for x
    x = 1,190,855.97/1,091.71
  6. Step 6: Final answer
    x = 1,090.82

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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.