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Finding the Fourth Proportional to 1,296.09, 1,944.14 and 747.95

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Solution

The fourth proportional to 1,296.09, 1,944.14 and 747.95 is: 1,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.09 : 1,944.14 = 747.95 : x
  2. Step 2: Convert to fraction form
    1,296.09/1,944.14 = 747.95/x
  3. Step 3: Cross multiply
    1,296.09x = 1,944.14 × 747.95
  4. Step 4: Simplify right side
    1,296.09x = 1,454,106.05
  5. Step 5: Solve for x
    x = 1,454,106.05/1,296.09
  6. Step 6: Final answer
    x = 1,121.92

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Similar ratio
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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.