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Finding the Fourth Proportional to 1,200.73, 1,656.51 and 868.42

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Solution

The fourth proportional to 1,200.73, 1,656.51 and 868.42 is: 1,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.73 : 1,656.51 = 868.42 : x
  2. Step 2: Convert to fraction form
    1,200.73/1,656.51 = 868.42/x
  3. Step 3: Cross multiply
    1,200.73x = 1,656.51 × 868.42
  4. Step 4: Simplify right side
    1,200.73x = 1,438,546.41
  5. Step 5: Solve for x
    x = 1,438,546.41/1,200.73
  6. Step 6: Final answer
    x = 1,198.06

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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.