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Finding the Fourth Proportional to 1,081.22, 1,621.96 and 559.78

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Solution

The fourth proportional to 1,081.22, 1,621.96 and 559.78 is: 839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.22 : 1,621.96 = 559.78 : x
  2. Step 2: Convert to fraction form
    1,081.22/1,621.96 = 559.78/x
  3. Step 3: Cross multiply
    1,081.22x = 1,621.96 × 559.78
  4. Step 4: Simplify right side
    1,081.22x = 907,935.31
  5. Step 5: Solve for x
    x = 907,935.31/1,081.22
  6. Step 6: Final answer
    x = 839.74

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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.