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Finding the Fourth Proportional to 889.78, 1,224.21 and 863.86

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Solution

The fourth proportional to 889.78, 1,224.21 and 863.86 is: 1,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.78 : 1,224.21 = 863.86 : x
  2. Step 2: Convert to fraction form
    889.78/1,224.21 = 863.86/x
  3. Step 3: Cross multiply
    889.78x = 1,224.21 × 863.86
  4. Step 4: Simplify right side
    889.78x = 1,057,546.05
  5. Step 5: Solve for x
    x = 1,057,546.05/889.78
  6. Step 6: Final answer
    x = 1,188.55

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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.