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Finding the Fourth Proportional to 878.92, 1,213.50 and 682.12

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Solution

The fourth proportional to 878.92, 1,213.50 and 682.12 is: 941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,213.50 = 682.12 : x
  2. Step 2: Convert to fraction form
    878.92/1,213.50 = 682.12/x
  3. Step 3: Cross multiply
    878.92x = 1,213.50 × 682.12
  4. Step 4: Simplify right side
    878.92x = 827,752.62
  5. Step 5: Solve for x
    x = 827,752.62/878.92
  6. Step 6: Final answer
    x = 941.78

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1.5x scale

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.