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Finding the Fourth Proportional to 825.44, 1,236.55 and 459.11

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Solution

The fourth proportional to 825.44, 1,236.55 and 459.11 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,236.55 = 459.11 : x
  2. Step 2: Convert to fraction form
    825.44/1,236.55 = 459.11/x
  3. Step 3: Cross multiply
    825.44x = 1,236.55 × 459.11
  4. Step 4: Simplify right side
    825.44x = 567,714.41
  5. Step 5: Solve for x
    x = 567,714.41/825.44
  6. Step 6: Final answer
    x = 687.78

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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.