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Finding the Fourth Proportional to 863.94, 1,287.32 and 822.09

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Solution

The fourth proportional to 863.94, 1,287.32 and 822.09 is: 1,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,287.32 = 822.09 : x
  2. Step 2: Convert to fraction form
    863.94/1,287.32 = 822.09/x
  3. Step 3: Cross multiply
    863.94x = 1,287.32 × 822.09
  4. Step 4: Simplify right side
    863.94x = 1,058,292.90
  5. Step 5: Solve for x
    x = 1,058,292.90/863.94
  6. Step 6: Final answer
    x = 1,224.96

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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.