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Finding the Fourth Proportional to 822.77, 1,234.38 and 329.22

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Solution

The fourth proportional to 822.77, 1,234.38 and 329.22 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,234.38 = 329.22 : x
  2. Step 2: Convert to fraction form
    822.77/1,234.38 = 329.22/x
  3. Step 3: Cross multiply
    822.77x = 1,234.38 × 329.22
  4. Step 4: Simplify right side
    822.77x = 406,382.58
  5. Step 5: Solve for x
    x = 406,382.58/822.77
  6. Step 6: Final answer
    x = 493.92

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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.