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Finding the Fourth Proportional to 824.99, 1,236.26 and 721.71

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Solution

The fourth proportional to 824.99, 1,236.26 and 721.71 is: 1,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.99 : 1,236.26 = 721.71 : x
  2. Step 2: Convert to fraction form
    824.99/1,236.26 = 721.71/x
  3. Step 3: Cross multiply
    824.99x = 1,236.26 × 721.71
  4. Step 4: Simplify right side
    824.99x = 892,223.01
  5. Step 5: Solve for x
    x = 892,223.01/824.99
  6. Step 6: Final answer
    x = 1,081.50

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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.