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Finding the Fourth Proportional to 863.98, 1,287.25 and 822.70

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Solution

The fourth proportional to 863.98, 1,287.25 and 822.70 is: 1,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,287.25 = 822.70 : x
  2. Step 2: Convert to fraction form
    863.98/1,287.25 = 822.70/x
  3. Step 3: Cross multiply
    863.98x = 1,287.25 × 822.70
  4. Step 4: Simplify right side
    863.98x = 1,059,016.46
  5. Step 5: Solve for x
    x = 1,059,016.46/863.98
  6. Step 6: Final answer
    x = 1,225.74

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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.