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Finding the Fourth Proportional to 2,329.28, 3,494.44 and 685.88

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Solution

The fourth proportional to 2,329.28, 3,494.44 and 685.88 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.28 : 3,494.44 = 685.88 : x
  2. Step 2: Convert to fraction form
    2,329.28/3,494.44 = 685.88/x
  3. Step 3: Cross multiply
    2,329.28x = 3,494.44 × 685.88
  4. Step 4: Simplify right side
    2,329.28x = 2,396,766.51
  5. Step 5: Solve for x
    x = 2,396,766.51/2,329.28
  6. Step 6: Final answer
    x = 1,028.97

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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.