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Finding the Fourth Proportional to 643.94, 964.76 and 232.82

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Solution

The fourth proportional to 643.94, 964.76 and 232.82 is: 348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.94 : 964.76 = 232.82 : x
  2. Step 2: Convert to fraction form
    643.94/964.76 = 232.82/x
  3. Step 3: Cross multiply
    643.94x = 964.76 × 232.82
  4. Step 4: Simplify right side
    643.94x = 224,615.42
  5. Step 5: Solve for x
    x = 224,615.42/643.94
  6. Step 6: Final answer
    x = 348.81

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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.