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Finding the Fourth Proportional to 824.99, 1,238.09 and 664.61

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Solution

The fourth proportional to 824.99, 1,238.09 and 664.61 is: 997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,238.09 = 664.61 : x
  2. Step 2: Convert to fraction form
    824.99/1,238.09 = 664.61/x
  3. Step 3: Cross multiply
    824.99x = 1,238.09 × 664.61
  4. Step 4: Simplify right side
    824.99x = 822,843.67
  5. Step 5: Solve for x
    x = 822,843.67/824.99
  6. Step 6: Final answer
    x = 997.40

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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.