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Finding the Fourth Proportional to 2,329.28, 3,493.38 and 685.39

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Solution

The fourth proportional to 2,329.28, 3,493.38 and 685.39 is: 1,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.28 : 3,493.38 = 685.39 : x
  2. Step 2: Convert to fraction form
    2,329.28/3,493.38 = 685.39/x
  3. Step 3: Cross multiply
    2,329.28x = 3,493.38 × 685.39
  4. Step 4: Simplify right side
    2,329.28x = 2,394,310.25
  5. Step 5: Solve for x
    x = 2,394,310.25/2,329.28
  6. Step 6: Final answer
    x = 1,027.92

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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.