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Finding the Fourth Proportional to 878.10, 1,211.31 and 563.02

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Solution

The fourth proportional to 878.10, 1,211.31 and 563.02 is: 776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.10 : 1,211.31 = 563.02 : x
  2. Step 2: Convert to fraction form
    878.10/1,211.31 = 563.02/x
  3. Step 3: Cross multiply
    878.10x = 1,211.31 × 563.02
  4. Step 4: Simplify right side
    878.10x = 681,991.76
  5. Step 5: Solve for x
    x = 681,991.76/878.10
  6. Step 6: Final answer
    x = 776.67

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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.