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Finding the Fourth Proportional to 643.28, 964.73 and 296.43

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Solution

The fourth proportional to 643.28, 964.73 and 296.43 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.28 : 964.73 = 296.43 : x
  2. Step 2: Convert to fraction form
    643.28/964.73 = 296.43/x
  3. Step 3: Cross multiply
    643.28x = 964.73 × 296.43
  4. Step 4: Simplify right side
    643.28x = 285,973.43
  5. Step 5: Solve for x
    x = 285,973.43/643.28
  6. Step 6: Final answer
    x = 444.56

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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.