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Finding the Fourth Proportional to 816.89, 1,225.93 and 329.93

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Solution

The fourth proportional to 816.89, 1,225.93 and 329.93 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.89 : 1,225.93 = 329.93 : x
  2. Step 2: Convert to fraction form
    816.89/1,225.93 = 329.93/x
  3. Step 3: Cross multiply
    816.89x = 1,225.93 × 329.93
  4. Step 4: Simplify right side
    816.89x = 404,473.32
  5. Step 5: Solve for x
    x = 404,473.32/816.89
  6. Step 6: Final answer
    x = 495.14

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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.