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Finding the Fourth Proportional to 1,327.55, 1,991.34 and 353.75

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Solution

The fourth proportional to 1,327.55, 1,991.34 and 353.75 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.55 : 1,991.34 = 353.75 : x
  2. Step 2: Convert to fraction form
    1,327.55/1,991.34 = 353.75/x
  3. Step 3: Cross multiply
    1,327.55x = 1,991.34 × 353.75
  4. Step 4: Simplify right side
    1,327.55x = 704,426.57
  5. Step 5: Solve for x
    x = 704,426.57/1,327.55
  6. Step 6: Final answer
    x = 530.62

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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.