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Finding the Fourth Proportional to 824.73, 1,236.73 and 247.47

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Solution

The fourth proportional to 824.73, 1,236.73 and 247.47 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.73 : 1,236.73 = 247.47 : x
  2. Step 2: Convert to fraction form
    824.73/1,236.73 = 247.47/x
  3. Step 3: Cross multiply
    824.73x = 1,236.73 × 247.47
  4. Step 4: Simplify right side
    824.73x = 306,053.57
  5. Step 5: Solve for x
    x = 306,053.57/824.73
  6. Step 6: Final answer
    x = 371.10

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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.