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Finding the Fourth Proportional to 823.05, 1,129.76 and 727.71

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Solution

The fourth proportional to 823.05, 1,129.76 and 727.71 is: 998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,129.76 = 727.71 : x
  2. Step 2: Convert to fraction form
    823.05/1,129.76 = 727.71/x
  3. Step 3: Cross multiply
    823.05x = 1,129.76 × 727.71
  4. Step 4: Simplify right side
    823.05x = 822,136.70
  5. Step 5: Solve for x
    x = 822,136.70/823.05
  6. Step 6: Final answer
    x = 998.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.