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Finding the Fourth Proportional to 2,489.55, 3,733.40 and 734.10

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Solution

The fourth proportional to 2,489.55, 3,733.40 and 734.10 is: 1,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.55 : 3,733.40 = 734.10 : x
  2. Step 2: Convert to fraction form
    2,489.55/3,733.40 = 734.10/x
  3. Step 3: Cross multiply
    2,489.55x = 3,733.40 × 734.10
  4. Step 4: Simplify right side
    2,489.55x = 2,740,685.27
  5. Step 5: Solve for x
    x = 2,740,685.27/2,489.55
  6. Step 6: Final answer
    x = 1,100.88

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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.