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Finding the Fourth Proportional to 1,080.62, 1,620.84 and 422.37

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Solution

The fourth proportional to 1,080.62, 1,620.84 and 422.37 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.62 : 1,620.84 = 422.37 : x
  2. Step 2: Convert to fraction form
    1,080.62/1,620.84 = 422.37/x
  3. Step 3: Cross multiply
    1,080.62x = 1,620.84 × 422.37
  4. Step 4: Simplify right side
    1,080.62x = 684,600.33
  5. Step 5: Solve for x
    x = 684,600.33/1,080.62
  6. Step 6: Final answer
    x = 633.53

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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.