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Finding the Fourth Proportional to 914.41, 1,371.25 and 329.37

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Solution

The fourth proportional to 914.41, 1,371.25 and 329.37 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.41 : 1,371.25 = 329.37 : x
  2. Step 2: Convert to fraction form
    914.41/1,371.25 = 329.37/x
  3. Step 3: Cross multiply
    914.41x = 1,371.25 × 329.37
  4. Step 4: Simplify right side
    914.41x = 451,648.61
  5. Step 5: Solve for x
    x = 451,648.61/914.41
  6. Step 6: Final answer
    x = 493.92

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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.