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Finding the Fourth Proportional to 825.44, 1,236.84 and 386.21

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Solution

The fourth proportional to 825.44, 1,236.84 and 386.21 is: 578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,236.84 = 386.21 : x
  2. Step 2: Convert to fraction form
    825.44/1,236.84 = 386.21/x
  3. Step 3: Cross multiply
    825.44x = 1,236.84 × 386.21
  4. Step 4: Simplify right side
    825.44x = 477,679.98
  5. Step 5: Solve for x
    x = 477,679.98/825.44
  6. Step 6: Final answer
    x = 578.70

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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.