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Finding the Fourth Proportional to 963.24, 1,436.61 and 825

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Solution

The fourth proportional to 963.24, 1,436.61 and 825 is: 1,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.24 : 1,436.61 = 825 : x
  2. Step 2: Convert to fraction form
    963.24/1,436.61 = 825/x
  3. Step 3: Cross multiply
    963.24x = 1,436.61 × 825
  4. Step 4: Simplify right side
    963.24x = 1,185,203.25
  5. Step 5: Solve for x
    x = 1,185,203.25/963.24
  6. Step 6: Final answer
    x = 1,230.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.