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Finding the Fourth Proportional to 878.92, 1,318.14 and 445.48

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Solution

The fourth proportional to 878.92, 1,318.14 and 445.48 is: 668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,318.14 = 445.48 : x
  2. Step 2: Convert to fraction form
    878.92/1,318.14 = 445.48/x
  3. Step 3: Cross multiply
    878.92x = 1,318.14 × 445.48
  4. Step 4: Simplify right side
    878.92x = 587,205.01
  5. Step 5: Solve for x
    x = 587,205.01/878.92
  6. Step 6: Final answer
    x = 668.10

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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.