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Finding the Fourth Proportional to 863.48, 1,286.50 and 822.20

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Solution

The fourth proportional to 863.48, 1,286.50 and 822.20 is: 1,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.48 : 1,286.50 = 822.20 : x
  2. Step 2: Convert to fraction form
    863.48/1,286.50 = 822.20/x
  3. Step 3: Cross multiply
    863.48x = 1,286.50 × 822.20
  4. Step 4: Simplify right side
    863.48x = 1,057,760.30
  5. Step 5: Solve for x
    x = 1,057,760.30/863.48
  6. Step 6: Final answer
    x = 1,225.00

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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.