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Finding the Fourth Proportional to 1,299.92, 1,947.83 and 1,055.25

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Solution

The fourth proportional to 1,299.92, 1,947.83 and 1,055.25 is: 1,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.92 : 1,947.83 = 1,055.25 : x
  2. Step 2: Convert to fraction form
    1,299.92/1,947.83 = 1,055.25/x
  3. Step 3: Cross multiply
    1,299.92x = 1,947.83 × 1,055.25
  4. Step 4: Simplify right side
    1,299.92x = 2,055,453.75
  5. Step 5: Solve for x
    x = 2,055,453.75/1,299.92
  6. Step 6: Final answer
    x = 1,581.21

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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.