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Finding the Fourth Proportional to 2,189.33, 3,284.39 and 708.94

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Solution

The fourth proportional to 2,189.33, 3,284.39 and 708.94 is: 1,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.33 : 3,284.39 = 708.94 : x
  2. Step 2: Convert to fraction form
    2,189.33/3,284.39 = 708.94/x
  3. Step 3: Cross multiply
    2,189.33x = 3,284.39 × 708.94
  4. Step 4: Simplify right side
    2,189.33x = 2,328,429.01
  5. Step 5: Solve for x
    x = 2,328,429.01/2,189.33
  6. Step 6: Final answer
    x = 1,063.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.