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Finding the Fourth Proportional to 1,163.73, 1,737.02 and 1,066.31

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Solution

The fourth proportional to 1,163.73, 1,737.02 and 1,066.31 is: 1,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.73 : 1,737.02 = 1,066.31 : x
  2. Step 2: Convert to fraction form
    1,163.73/1,737.02 = 1,066.31/x
  3. Step 3: Cross multiply
    1,163.73x = 1,737.02 × 1,066.31
  4. Step 4: Simplify right side
    1,163.73x = 1,852,187.78
  5. Step 5: Solve for x
    x = 1,852,187.78/1,163.73
  6. Step 6: Final answer
    x = 1,591.60

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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.