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Finding the Fourth Proportional to 1,327.10, 1,991.07 and 402.75

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Solution

The fourth proportional to 1,327.10, 1,991.07 and 402.75 is: 604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.10 : 1,991.07 = 402.75 : x
  2. Step 2: Convert to fraction form
    1,327.10/1,991.07 = 402.75/x
  3. Step 3: Cross multiply
    1,327.10x = 1,991.07 × 402.75
  4. Step 4: Simplify right side
    1,327.10x = 801,903.44
  5. Step 5: Solve for x
    x = 801,903.44/1,327.10
  6. Step 6: Final answer
    x = 604.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.