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Finding the Fourth Proportional to 2,203.23, 3,304 and 642.71

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Solution

The fourth proportional to 2,203.23, 3,304 and 642.71 is: 963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.23 : 3,304 = 642.71 : x
  2. Step 2: Convert to fraction form
    2,203.23/3,304 = 642.71/x
  3. Step 3: Cross multiply
    2,203.23x = 3,304 × 642.71
  4. Step 4: Simplify right side
    2,203.23x = 2,123,513.84
  5. Step 5: Solve for x
    x = 2,123,513.84/2,203.23
  6. Step 6: Final answer
    x = 963.82

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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.