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Finding the Fourth Proportional to 816.41, 1,225.13 and 329.47

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Solution

The fourth proportional to 816.41, 1,225.13 and 329.47 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.41 : 1,225.13 = 329.47 : x
  2. Step 2: Convert to fraction form
    816.41/1,225.13 = 329.47/x
  3. Step 3: Cross multiply
    816.41x = 1,225.13 × 329.47
  4. Step 4: Simplify right side
    816.41x = 403,638.87
  5. Step 5: Solve for x
    x = 403,638.87/816.41
  6. Step 6: Final answer
    x = 494.41

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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.