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Finding the Fourth Proportional to 2,455.25, 3,683.39 and 811.71

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Solution

The fourth proportional to 2,455.25, 3,683.39 and 811.71 is: 1,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.25 : 3,683.39 = 811.71 : x
  2. Step 2: Convert to fraction form
    2,455.25/3,683.39 = 811.71/x
  3. Step 3: Cross multiply
    2,455.25x = 3,683.39 × 811.71
  4. Step 4: Simplify right side
    2,455.25x = 2,989,840.44
  5. Step 5: Solve for x
    x = 2,989,840.44/2,455.25
  6. Step 6: Final answer
    x = 1,217.74

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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.