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Finding the Fourth Proportional to 1,388.44, 2,082.92 and 414.43

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Solution

The fourth proportional to 1,388.44, 2,082.92 and 414.43 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.44 : 2,082.92 = 414.43 : x
  2. Step 2: Convert to fraction form
    1,388.44/2,082.92 = 414.43/x
  3. Step 3: Cross multiply
    1,388.44x = 2,082.92 × 414.43
  4. Step 4: Simplify right side
    1,388.44x = 863,224.54
  5. Step 5: Solve for x
    x = 863,224.54/1,388.44
  6. Step 6: Final answer
    x = 621.72

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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.