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Finding the Fourth Proportional to 1,327.67, 1,990.82 and 596.62

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Solution

The fourth proportional to 1,327.67, 1,990.82 and 596.62 is: 894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.67 : 1,990.82 = 596.62 : x
  2. Step 2: Convert to fraction form
    1,327.67/1,990.82 = 596.62/x
  3. Step 3: Cross multiply
    1,327.67x = 1,990.82 × 596.62
  4. Step 4: Simplify right side
    1,327.67x = 1,187,760.05
  5. Step 5: Solve for x
    x = 1,187,760.05/1,327.67
  6. Step 6: Final answer
    x = 894.62

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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.