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Finding the Fourth Proportional to 1,363.96, 1,882.24 and 742.96

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Solution

The fourth proportional to 1,363.96, 1,882.24 and 742.96 is: 1,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.96 : 1,882.24 = 742.96 : x
  2. Step 2: Convert to fraction form
    1,363.96/1,882.24 = 742.96/x
  3. Step 3: Cross multiply
    1,363.96x = 1,882.24 × 742.96
  4. Step 4: Simplify right side
    1,363.96x = 1,398,429.03
  5. Step 5: Solve for x
    x = 1,398,429.03/1,363.96
  6. Step 6: Final answer
    x = 1,025.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.