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Finding the Fourth Proportional to 1,091.26, 1,504.33 and 758.76

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Solution

The fourth proportional to 1,091.26, 1,504.33 and 758.76 is: 1,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.26 : 1,504.33 = 758.76 : x
  2. Step 2: Convert to fraction form
    1,091.26/1,504.33 = 758.76/x
  3. Step 3: Cross multiply
    1,091.26x = 1,504.33 × 758.76
  4. Step 4: Simplify right side
    1,091.26x = 1,141,425.43
  5. Step 5: Solve for x
    x = 1,141,425.43/1,091.26
  6. Step 6: Final answer
    x = 1,045.97

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Half scale
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Double scale
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1.5x scale

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.