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Finding the Fourth Proportional to 1,338.27, 1,847.88 and 890.57

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Solution

The fourth proportional to 1,338.27, 1,847.88 and 890.57 is: 1,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.27 : 1,847.88 = 890.57 : x
  2. Step 2: Convert to fraction form
    1,338.27/1,847.88 = 890.57/x
  3. Step 3: Cross multiply
    1,338.27x = 1,847.88 × 890.57
  4. Step 4: Simplify right side
    1,338.27x = 1,645,657.25
  5. Step 5: Solve for x
    x = 1,645,657.25/1,338.27
  6. Step 6: Final answer
    x = 1,229.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.