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Finding the Fourth Proportional to 1,080.20, 1,617.95 and 1,054.06

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Solution

The fourth proportional to 1,080.20, 1,617.95 and 1,054.06 is: 1,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.20 : 1,617.95 = 1,054.06 : x
  2. Step 2: Convert to fraction form
    1,080.20/1,617.95 = 1,054.06/x
  3. Step 3: Cross multiply
    1,080.20x = 1,617.95 × 1,054.06
  4. Step 4: Simplify right side
    1,080.20x = 1,705,414.97
  5. Step 5: Solve for x
    x = 1,705,414.97/1,080.20
  6. Step 6: Final answer
    x = 1,578.79

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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.