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Finding the Fourth Proportional to 823.60, 1,236 and 453.43

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Solution

The fourth proportional to 823.60, 1,236 and 453.43 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.60 : 1,236 = 453.43 : x
  2. Step 2: Convert to fraction form
    823.60/1,236 = 453.43/x
  3. Step 3: Cross multiply
    823.60x = 1,236 × 453.43
  4. Step 4: Simplify right side
    823.60x = 560,439.48
  5. Step 5: Solve for x
    x = 560,439.48/823.60
  6. Step 6: Final answer
    x = 680.48

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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.