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Finding the Fourth Proportional to 1,601.38, 2,399.97 and 820.72

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Solution

The fourth proportional to 1,601.38, 2,399.97 and 820.72 is: 1,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.38 : 2,399.97 = 820.72 : x
  2. Step 2: Convert to fraction form
    1,601.38/2,399.97 = 820.72/x
  3. Step 3: Cross multiply
    1,601.38x = 2,399.97 × 820.72
  4. Step 4: Simplify right side
    1,601.38x = 1,969,691.38
  5. Step 5: Solve for x
    x = 1,969,691.38/1,601.38
  6. Step 6: Final answer
    x = 1,230.00

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