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Finding the Fourth Proportional to 963.82, 1,328.61 and 822.88

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Solution

The fourth proportional to 963.82, 1,328.61 and 822.88 is: 1,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,328.61 = 822.88 : x
  2. Step 2: Convert to fraction form
    963.82/1,328.61 = 822.88/x
  3. Step 3: Cross multiply
    963.82x = 1,328.61 × 822.88
  4. Step 4: Simplify right side
    963.82x = 1,093,286.60
  5. Step 5: Solve for x
    x = 1,093,286.60/963.82
  6. Step 6: Final answer
    x = 1,134.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.