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Finding the Fourth Proportional to 815.98, 1,224.32 and 329.98

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Solution

The fourth proportional to 815.98, 1,224.32 and 329.98 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.98 : 1,224.32 = 329.98 : x
  2. Step 2: Convert to fraction form
    815.98/1,224.32 = 329.98/x
  3. Step 3: Cross multiply
    815.98x = 1,224.32 × 329.98
  4. Step 4: Simplify right side
    815.98x = 404,001.11
  5. Step 5: Solve for x
    x = 404,001.11/815.98
  6. Step 6: Final answer
    x = 495.11

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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.