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Finding the Fourth Proportional to 828.92, 1,240.97 and 719.12

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Solution

The fourth proportional to 828.92, 1,240.97 and 719.12 is: 1,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.92 : 1,240.97 = 719.12 : x
  2. Step 2: Convert to fraction form
    828.92/1,240.97 = 719.12/x
  3. Step 3: Cross multiply
    828.92x = 1,240.97 × 719.12
  4. Step 4: Simplify right side
    828.92x = 892,406.35
  5. Step 5: Solve for x
    x = 892,406.35/828.92
  6. Step 6: Final answer
    x = 1,076.59

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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.