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Finding the Fourth Proportional to 1,096.64, 1,638.90 and 982.43

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Solution

The fourth proportional to 1,096.64, 1,638.90 and 982.43 is: 1,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.64 : 1,638.90 = 982.43 : x
  2. Step 2: Convert to fraction form
    1,096.64/1,638.90 = 982.43/x
  3. Step 3: Cross multiply
    1,096.64x = 1,638.90 × 982.43
  4. Step 4: Simplify right side
    1,096.64x = 1,610,099.61
  5. Step 5: Solve for x
    x = 1,610,099.61/1,096.64
  6. Step 6: Final answer
    x = 1,468.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.