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Finding the Fourth Proportional to 823.64, 1,236.43 and 650.43

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Solution

The fourth proportional to 823.64, 1,236.43 and 650.43 is: 976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.64 : 1,236.43 = 650.43 : x
  2. Step 2: Convert to fraction form
    823.64/1,236.43 = 650.43/x
  3. Step 3: Cross multiply
    823.64x = 1,236.43 × 650.43
  4. Step 4: Simplify right side
    823.64x = 804,201.73
  5. Step 5: Solve for x
    x = 804,201.73/823.64
  6. Step 6: Final answer
    x = 976.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.