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Finding the Fourth Proportional to 997.92, 1,496.31 and 535.92

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Solution

The fourth proportional to 997.92, 1,496.31 and 535.92 is: 803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,496.31 = 535.92 : x
  2. Step 2: Convert to fraction form
    997.92/1,496.31 = 535.92/x
  3. Step 3: Cross multiply
    997.92x = 1,496.31 × 535.92
  4. Step 4: Simplify right side
    997.92x = 801,902.46
  5. Step 5: Solve for x
    x = 801,902.46/997.92
  6. Step 6: Final answer
    x = 803.57

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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.