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Finding the Fourth Proportional to 643.41, 964.87 and 232.43

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Solution

The fourth proportional to 643.41, 964.87 and 232.43 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 964.87 = 232.43 : x
  2. Step 2: Convert to fraction form
    643.41/964.87 = 232.43/x
  3. Step 3: Cross multiply
    643.41x = 964.87 × 232.43
  4. Step 4: Simplify right side
    643.41x = 224,264.73
  5. Step 5: Solve for x
    x = 224,264.73/643.41
  6. Step 6: Final answer
    x = 348.56

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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.