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Finding the Fourth Proportional to 1,410.73, 1,947.75 and 1,080.88

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Solution

The fourth proportional to 1,410.73, 1,947.75 and 1,080.88 is: 1,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.73 : 1,947.75 = 1,080.88 : x
  2. Step 2: Convert to fraction form
    1,410.73/1,947.75 = 1,080.88/x
  3. Step 3: Cross multiply
    1,410.73x = 1,947.75 × 1,080.88
  4. Step 4: Simplify right side
    1,410.73x = 2,105,275.10
  5. Step 5: Solve for x
    x = 2,105,275.10/1,410.73
  6. Step 6: Final answer
    x = 1,492.33

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