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Finding the Fourth Proportional to 1,327.67, 1,832.24 and 738.21

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Solution

The fourth proportional to 1,327.67, 1,832.24 and 738.21 is: 1,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.67 : 1,832.24 = 738.21 : x
  2. Step 2: Convert to fraction form
    1,327.67/1,832.24 = 738.21/x
  3. Step 3: Cross multiply
    1,327.67x = 1,832.24 × 738.21
  4. Step 4: Simplify right side
    1,327.67x = 1,352,577.89
  5. Step 5: Solve for x
    x = 1,352,577.89/1,327.67
  6. Step 6: Final answer
    x = 1,018.76

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Why These Related Problems?

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