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Finding the Fourth Proportional to 2,300.75, 3,449.00 and 838.88

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Solution

The fourth proportional to 2,300.75, 3,449.00 and 838.88 is: 1,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.75 : 3,449.00 = 838.88 : x
  2. Step 2: Convert to fraction form
    2,300.75/3,449.00 = 838.88/x
  3. Step 3: Cross multiply
    2,300.75x = 3,449.00 × 838.88
  4. Step 4: Simplify right side
    2,300.75x = 2,893,290.19
  5. Step 5: Solve for x
    x = 2,893,290.19/2,300.75
  6. Step 6: Final answer
    x = 1,257.54

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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.