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Finding the Fourth Proportional to 1,960.82, 2,941.28 and 662.30

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Solution

The fourth proportional to 1,960.82, 2,941.28 and 662.30 is: 993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.82 : 2,941.28 = 662.30 : x
  2. Step 2: Convert to fraction form
    1,960.82/2,941.28 = 662.30/x
  3. Step 3: Cross multiply
    1,960.82x = 2,941.28 × 662.30
  4. Step 4: Simplify right side
    1,960.82x = 1,947,991.73
  5. Step 5: Solve for x
    x = 1,947,991.73/1,960.82
  6. Step 6: Final answer
    x = 993.46

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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.