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Finding the Fourth Proportional to 816.27, 1,223.67 and 329.67

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Solution

The fourth proportional to 816.27, 1,223.67 and 329.67 is: 494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.27 : 1,223.67 = 329.67 : x
  2. Step 2: Convert to fraction form
    816.27/1,223.67 = 329.67/x
  3. Step 3: Cross multiply
    816.27x = 1,223.67 × 329.67
  4. Step 4: Simplify right side
    816.27x = 403,407.29
  5. Step 5: Solve for x
    x = 403,407.29/816.27
  6. Step 6: Final answer
    x = 494.21

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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.