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Finding the Fourth Proportional to 911.55, 1,367.67 and 546.60

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Solution

The fourth proportional to 911.55, 1,367.67 and 546.60 is: 820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.55 : 1,367.67 = 546.60 : x
  2. Step 2: Convert to fraction form
    911.55/1,367.67 = 546.60/x
  3. Step 3: Cross multiply
    911.55x = 1,367.67 × 546.60
  4. Step 4: Simplify right side
    911.55x = 747,568.42
  5. Step 5: Solve for x
    x = 747,568.42/911.55
  6. Step 6: Final answer
    x = 820.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.