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Finding the Fourth Proportional to 1,080.37, 1,620.42 and 300.43

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Solution

The fourth proportional to 1,080.37, 1,620.42 and 300.43 is: 450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.37 : 1,620.42 = 300.43 : x
  2. Step 2: Convert to fraction form
    1,080.37/1,620.42 = 300.43/x
  3. Step 3: Cross multiply
    1,080.37x = 1,620.42 × 300.43
  4. Step 4: Simplify right side
    1,080.37x = 486,822.78
  5. Step 5: Solve for x
    x = 486,822.78/1,080.37
  6. Step 6: Final answer
    x = 450.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.