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Finding the Fourth Proportional to 877.67, 1,211.57 and 667.88

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Solution

The fourth proportional to 877.67, 1,211.57 and 667.88 is: 921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.67 : 1,211.57 = 667.88 : x
  2. Step 2: Convert to fraction form
    877.67/1,211.57 = 667.88/x
  3. Step 3: Cross multiply
    877.67x = 1,211.57 × 667.88
  4. Step 4: Simplify right side
    877.67x = 809,183.37
  5. Step 5: Solve for x
    x = 809,183.37/877.67
  6. Step 6: Final answer
    x = 921.97

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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.