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Finding the Fourth Proportional to 997.22, 1,494.87 and 558.20

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Solution

The fourth proportional to 997.22, 1,494.87 and 558.20 is: 836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.22 : 1,494.87 = 558.20 : x
  2. Step 2: Convert to fraction form
    997.22/1,494.87 = 558.20/x
  3. Step 3: Cross multiply
    997.22x = 1,494.87 × 558.20
  4. Step 4: Simplify right side
    997.22x = 834,428.96
  5. Step 5: Solve for x
    x = 834,428.96/997.22
  6. Step 6: Final answer
    x = 836.76

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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.