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Finding the Fourth Proportional to 1,380.99, 2,071.69 and 406.97

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Solution

The fourth proportional to 1,380.99, 2,071.69 and 406.97 is: 610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.99 : 2,071.69 = 406.97 : x
  2. Step 2: Convert to fraction form
    1,380.99/2,071.69 = 406.97/x
  3. Step 3: Cross multiply
    1,380.99x = 2,071.69 × 406.97
  4. Step 4: Simplify right side
    1,380.99x = 843,104.30
  5. Step 5: Solve for x
    x = 843,104.30/1,380.99
  6. Step 6: Final answer
    x = 610.51

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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.