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Finding the Fourth Proportional to 1,382.31, 2,072.90 and 688.73

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Solution

The fourth proportional to 1,382.31, 2,072.90 and 688.73 is: 1,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.31 : 2,072.90 = 688.73 : x
  2. Step 2: Convert to fraction form
    1,382.31/2,072.90 = 688.73/x
  3. Step 3: Cross multiply
    1,382.31x = 2,072.90 × 688.73
  4. Step 4: Simplify right side
    1,382.31x = 1,427,659.77
  5. Step 5: Solve for x
    x = 1,427,659.77/1,382.31
  6. Step 6: Final answer
    x = 1,032.81

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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.