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Finding the Fourth Proportional to 1,327.94, 1,832.46 and 738.43

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Solution

The fourth proportional to 1,327.94, 1,832.46 and 738.43 is: 1,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.94 : 1,832.46 = 738.43 : x
  2. Step 2: Convert to fraction form
    1,327.94/1,832.46 = 738.43/x
  3. Step 3: Cross multiply
    1,327.94x = 1,832.46 × 738.43
  4. Step 4: Simplify right side
    1,327.94x = 1,353,136.09
  5. Step 5: Solve for x
    x = 1,353,136.09/1,327.94
  6. Step 6: Final answer
    x = 1,018.97

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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.