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Finding the Fourth Proportional to 824.76, 1,238.76 and 727.56

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Solution

The fourth proportional to 824.76, 1,238.76 and 727.56 is: 1,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.76 : 1,238.76 = 727.56 : x
  2. Step 2: Convert to fraction form
    824.76/1,238.76 = 727.56/x
  3. Step 3: Cross multiply
    824.76x = 1,238.76 × 727.56
  4. Step 4: Simplify right side
    824.76x = 901,272.23
  5. Step 5: Solve for x
    x = 901,272.23/824.76
  6. Step 6: Final answer
    x = 1,092.77

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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.