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Finding the Fourth Proportional to 1,581.38, 2,372.34 and 704.20

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Solution

The fourth proportional to 1,581.38, 2,372.34 and 704.20 is: 1,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.38 : 2,372.34 = 704.20 : x
  2. Step 2: Convert to fraction form
    1,581.38/2,372.34 = 704.20/x
  3. Step 3: Cross multiply
    1,581.38x = 2,372.34 × 704.20
  4. Step 4: Simplify right side
    1,581.38x = 1,670,601.83
  5. Step 5: Solve for x
    x = 1,670,601.83/1,581.38
  6. Step 6: Final answer
    x = 1,056.42

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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.