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Finding the Fourth Proportional to 997.21, 1,494.63 and 558.21

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Solution

The fourth proportional to 997.21, 1,494.63 and 558.21 is: 836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.21 : 1,494.63 = 558.21 : x
  2. Step 2: Convert to fraction form
    997.21/1,494.63 = 558.21/x
  3. Step 3: Cross multiply
    997.21x = 1,494.63 × 558.21
  4. Step 4: Simplify right side
    997.21x = 834,323.02
  5. Step 5: Solve for x
    x = 834,323.02/997.21
  6. Step 6: Final answer
    x = 836.66

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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.