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Finding the Fourth Proportional to 816.29, 1,224.80 and 329.21

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Solution

The fourth proportional to 816.29, 1,224.80 and 329.21 is: 493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.29 : 1,224.80 = 329.21 : x
  2. Step 2: Convert to fraction form
    816.29/1,224.80 = 329.21/x
  3. Step 3: Cross multiply
    816.29x = 1,224.80 × 329.21
  4. Step 4: Simplify right side
    816.29x = 403,216.41
  5. Step 5: Solve for x
    x = 403,216.41/816.29
  6. Step 6: Final answer
    x = 493.96

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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.