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Finding the Fourth Proportional to 892.19, 1,231.76 and 582.23

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Solution

The fourth proportional to 892.19, 1,231.76 and 582.23 is: 803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.19 : 1,231.76 = 582.23 : x
  2. Step 2: Convert to fraction form
    892.19/1,231.76 = 582.23/x
  3. Step 3: Cross multiply
    892.19x = 1,231.76 × 582.23
  4. Step 4: Simplify right side
    892.19x = 717,167.62
  5. Step 5: Solve for x
    x = 717,167.62/892.19
  6. Step 6: Final answer
    x = 803.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.