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Finding the Fourth Proportional to 643.27, 963.61 and 296.12

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Solution

The fourth proportional to 643.27, 963.61 and 296.12 is: 443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.27 : 963.61 = 296.12 : x
  2. Step 2: Convert to fraction form
    643.27/963.61 = 296.12/x
  3. Step 3: Cross multiply
    643.27x = 963.61 × 296.12
  4. Step 4: Simplify right side
    643.27x = 285,341.04
  5. Step 5: Solve for x
    x = 285,341.04/643.27
  6. Step 6: Final answer
    x = 443.58

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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.