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Finding the Fourth Proportional to 2,207.31, 3,311.03 and 563.88

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Solution

The fourth proportional to 2,207.31, 3,311.03 and 563.88 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.31 : 3,311.03 = 563.88 : x
  2. Step 2: Convert to fraction form
    2,207.31/3,311.03 = 563.88/x
  3. Step 3: Cross multiply
    2,207.31x = 3,311.03 × 563.88
  4. Step 4: Simplify right side
    2,207.31x = 1,867,023.60
  5. Step 5: Solve for x
    x = 1,867,023.60/2,207.31
  6. Step 6: Final answer
    x = 845.84

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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.