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Finding the Fourth Proportional to 878.72, 1,212.62 and 480.40

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Solution

The fourth proportional to 878.72, 1,212.62 and 480.40 is: 662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.72 : 1,212.62 = 480.40 : x
  2. Step 2: Convert to fraction form
    878.72/1,212.62 = 480.40/x
  3. Step 3: Cross multiply
    878.72x = 1,212.62 × 480.40
  4. Step 4: Simplify right side
    878.72x = 582,537.21
  5. Step 5: Solve for x
    x = 582,537.21/878.72
  6. Step 6: Final answer
    x = 662.94

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Why These Related Problems?

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