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Finding the Fourth Proportional to 1,100.67, 1,643.16 and 1,062.21

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Solution

The fourth proportional to 1,100.67, 1,643.16 and 1,062.21 is: 1,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.67 : 1,643.16 = 1,062.21 : x
  2. Step 2: Convert to fraction form
    1,100.67/1,643.16 = 1,062.21/x
  3. Step 3: Cross multiply
    1,100.67x = 1,643.16 × 1,062.21
  4. Step 4: Simplify right side
    1,100.67x = 1,745,380.98
  5. Step 5: Solve for x
    x = 1,745,380.98/1,100.67
  6. Step 6: Final answer
    x = 1,585.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.