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Finding the Fourth Proportional to 824.92, 1,237.83 and 495.96

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Solution

The fourth proportional to 824.92, 1,237.83 and 495.96 is: 744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.92 : 1,237.83 = 495.96 : x
  2. Step 2: Convert to fraction form
    824.92/1,237.83 = 495.96/x
  3. Step 3: Cross multiply
    824.92x = 1,237.83 × 495.96
  4. Step 4: Simplify right side
    824.92x = 613,910.45
  5. Step 5: Solve for x
    x = 613,910.45/824.92
  6. Step 6: Final answer
    x = 744.21

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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.