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Finding the Fourth Proportional to 823.73, 1,234.79 and 391.19

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Solution

The fourth proportional to 823.73, 1,234.79 and 391.19 is: 586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.73 : 1,234.79 = 391.19 : x
  2. Step 2: Convert to fraction form
    823.73/1,234.79 = 391.19/x
  3. Step 3: Cross multiply
    823.73x = 1,234.79 × 391.19
  4. Step 4: Simplify right side
    823.73x = 483,035.54
  5. Step 5: Solve for x
    x = 483,035.54/823.73
  6. Step 6: Final answer
    x = 586.40

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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.