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Finding the Fourth Proportional to 1,236.66, 1,853.62 and 825.23

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Solution

The fourth proportional to 1,236.66, 1,853.62 and 825.23 is: 1,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.66 : 1,853.62 = 825.23 : x
  2. Step 2: Convert to fraction form
    1,236.66/1,853.62 = 825.23/x
  3. Step 3: Cross multiply
    1,236.66x = 1,853.62 × 825.23
  4. Step 4: Simplify right side
    1,236.66x = 1,529,649.44
  5. Step 5: Solve for x
    x = 1,529,649.44/1,236.66
  6. Step 6: Final answer
    x = 1,236.92

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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.