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Finding the Fourth Proportional to 1,280.96, 1,767.81 and 721.37

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Solution

The fourth proportional to 1,280.96, 1,767.81 and 721.37 is: 995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.96 : 1,767.81 = 721.37 : x
  2. Step 2: Convert to fraction form
    1,280.96/1,767.81 = 721.37/x
  3. Step 3: Cross multiply
    1,280.96x = 1,767.81 × 721.37
  4. Step 4: Simplify right side
    1,280.96x = 1,275,250.13
  5. Step 5: Solve for x
    x = 1,275,250.13/1,280.96
  6. Step 6: Final answer
    x = 995.54

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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.