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Finding the Fourth Proportional to 878.87, 1,211.84 and 599.27

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Solution

The fourth proportional to 878.87, 1,211.84 and 599.27 is: 826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.87 : 1,211.84 = 599.27 : x
  2. Step 2: Convert to fraction form
    878.87/1,211.84 = 599.27/x
  3. Step 3: Cross multiply
    878.87x = 1,211.84 × 599.27
  4. Step 4: Simplify right side
    878.87x = 726,214.80
  5. Step 5: Solve for x
    x = 726,214.80/878.87
  6. Step 6: Final answer
    x = 826.31

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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.