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Finding the Fourth Proportional to 1,982.18, 2,972.25 and 665.48

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Solution

The fourth proportional to 1,982.18, 2,972.25 and 665.48 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.18 : 2,972.25 = 665.48 : x
  2. Step 2: Convert to fraction form
    1,982.18/2,972.25 = 665.48/x
  3. Step 3: Cross multiply
    1,982.18x = 2,972.25 × 665.48
  4. Step 4: Simplify right side
    1,982.18x = 1,977,972.93
  5. Step 5: Solve for x
    x = 1,977,972.93/1,982.18
  6. Step 6: Final answer
    x = 997.88

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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.