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Finding the Fourth Proportional to 1,091.62, 1,636.25 and 794.41

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Solution

The fourth proportional to 1,091.62, 1,636.25 and 794.41 is: 1,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.62 : 1,636.25 = 794.41 : x
  2. Step 2: Convert to fraction form
    1,091.62/1,636.25 = 794.41/x
  3. Step 3: Cross multiply
    1,091.62x = 1,636.25 × 794.41
  4. Step 4: Simplify right side
    1,091.62x = 1,299,849.39
  5. Step 5: Solve for x
    x = 1,299,849.39/1,091.62
  6. Step 6: Final answer
    x = 1,190.76

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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.