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Finding the Fourth Proportional to 1,251.33, 1,724.77 and 940.29

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Solution

The fourth proportional to 1,251.33, 1,724.77 and 940.29 is: 1,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.33 : 1,724.77 = 940.29 : x
  2. Step 2: Convert to fraction form
    1,251.33/1,724.77 = 940.29/x
  3. Step 3: Cross multiply
    1,251.33x = 1,724.77 × 940.29
  4. Step 4: Simplify right side
    1,251.33x = 1,621,779.28
  5. Step 5: Solve for x
    x = 1,621,779.28/1,251.33
  6. Step 6: Final answer
    x = 1,296.04

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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.