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Finding the Fourth Proportional to 1,963.85, 2,943.94 and 664.41

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Solution

The fourth proportional to 1,963.85, 2,943.94 and 664.41 is: 995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.85 : 2,943.94 = 664.41 : x
  2. Step 2: Convert to fraction form
    1,963.85/2,943.94 = 664.41/x
  3. Step 3: Cross multiply
    1,963.85x = 2,943.94 × 664.41
  4. Step 4: Simplify right side
    1,963.85x = 1,955,983.18
  5. Step 5: Solve for x
    x = 1,955,983.18/1,963.85
  6. Step 6: Final answer
    x = 995.99

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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.