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Finding the Fourth Proportional to 1,380.44, 1,906.44 and 1,182.80

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Solution

The fourth proportional to 1,380.44, 1,906.44 and 1,182.80 is: 1,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.44 : 1,906.44 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    1,380.44/1,906.44 = 1,182.80/x
  3. Step 3: Cross multiply
    1,380.44x = 1,906.44 × 1,182.80
  4. Step 4: Simplify right side
    1,380.44x = 2,254,937.23
  5. Step 5: Solve for x
    x = 2,254,937.23/1,380.44
  6. Step 6: Final answer
    x = 1,633.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.