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Finding the Fourth Proportional to 1,639.67, 2,458.17 and 762.71

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Solution

The fourth proportional to 1,639.67, 2,458.17 and 762.71 is: 1,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.67 : 2,458.17 = 762.71 : x
  2. Step 2: Convert to fraction form
    1,639.67/2,458.17 = 762.71/x
  3. Step 3: Cross multiply
    1,639.67x = 2,458.17 × 762.71
  4. Step 4: Simplify right side
    1,639.67x = 1,874,858.55
  5. Step 5: Solve for x
    x = 1,874,858.55/1,639.67
  6. Step 6: Final answer
    x = 1,143.44

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Why These Related Problems?

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