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Finding the Fourth Proportional to 1,327.31, 1,990.72 and 596.76

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Solution

The fourth proportional to 1,327.31, 1,990.72 and 596.76 is: 895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.31 : 1,990.72 = 596.76 : x
  2. Step 2: Convert to fraction form
    1,327.31/1,990.72 = 596.76/x
  3. Step 3: Cross multiply
    1,327.31x = 1,990.72 × 596.76
  4. Step 4: Simplify right side
    1,327.31x = 1,187,982.07
  5. Step 5: Solve for x
    x = 1,187,982.07/1,327.31
  6. Step 6: Final answer
    x = 895.03

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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.