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Finding the Fourth Proportional to 823.48, 1,236.78 and 729.40

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Solution

The fourth proportional to 823.48, 1,236.78 and 729.40 is: 1,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.48 : 1,236.78 = 729.40 : x
  2. Step 2: Convert to fraction form
    823.48/1,236.78 = 729.40/x
  3. Step 3: Cross multiply
    823.48x = 1,236.78 × 729.40
  4. Step 4: Simplify right side
    823.48x = 902,107.33
  5. Step 5: Solve for x
    x = 902,107.33/823.48
  6. Step 6: Final answer
    x = 1,095.48

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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.