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Finding the Fourth Proportional to 1,327.20, 1,990.81 and 353.31

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Solution

The fourth proportional to 1,327.20, 1,990.81 and 353.31 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.20 : 1,990.81 = 353.31 : x
  2. Step 2: Convert to fraction form
    1,327.20/1,990.81 = 353.31/x
  3. Step 3: Cross multiply
    1,327.20x = 1,990.81 × 353.31
  4. Step 4: Simplify right side
    1,327.20x = 703,363.91
  5. Step 5: Solve for x
    x = 703,363.91/1,327.20
  6. Step 6: Final answer
    x = 529.96

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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.