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Finding the Fourth Proportional to 878.80, 1,211.63 and 563.50

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Solution

The fourth proportional to 878.80, 1,211.63 and 563.50 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.80 : 1,211.63 = 563.50 : x
  2. Step 2: Convert to fraction form
    878.80/1,211.63 = 563.50/x
  3. Step 3: Cross multiply
    878.80x = 1,211.63 × 563.50
  4. Step 4: Simplify right side
    878.80x = 682,747.45
  5. Step 5: Solve for x
    x = 682,747.45/878.80
  6. Step 6: Final answer
    x = 776.91

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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.