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Finding the Fourth Proportional to 822.87, 1,234.37 and 329.15

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Solution

The fourth proportional to 822.87, 1,234.37 and 329.15 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.87 : 1,234.37 = 329.15 : x
  2. Step 2: Convert to fraction form
    822.87/1,234.37 = 329.15/x
  3. Step 3: Cross multiply
    822.87x = 1,234.37 × 329.15
  4. Step 4: Simplify right side
    822.87x = 406,285.07
  5. Step 5: Solve for x
    x = 406,285.07/822.87
  6. Step 6: Final answer
    x = 493.74

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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.