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Finding the Fourth Proportional to 997.45, 1,496.20 and 823.81

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Solution

The fourth proportional to 997.45, 1,496.20 and 823.81 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.45 : 1,496.20 = 823.81 : x
  2. Step 2: Convert to fraction form
    997.45/1,496.20 = 823.81/x
  3. Step 3: Cross multiply
    997.45x = 1,496.20 × 823.81
  4. Step 4: Simplify right side
    997.45x = 1,232,584.52
  5. Step 5: Solve for x
    x = 1,232,584.52/997.45
  6. Step 6: Final answer
    x = 1,235.74

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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.