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Finding the Fourth Proportional to 1,091.12, 1,636.97 and 441.50

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Solution

The fourth proportional to 1,091.12, 1,636.97 and 441.50 is: 662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.12 : 1,636.97 = 441.50 : x
  2. Step 2: Convert to fraction form
    1,091.12/1,636.97 = 441.50/x
  3. Step 3: Cross multiply
    1,091.12x = 1,636.97 × 441.50
  4. Step 4: Simplify right side
    1,091.12x = 722,711.86
  5. Step 5: Solve for x
    x = 722,711.86/1,091.12
  6. Step 6: Final answer
    x = 662.36

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Double scale
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1.5x scale

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.