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Finding the Fourth Proportional to 915.06, 1,371.94 and 329.78

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Solution

The fourth proportional to 915.06, 1,371.94 and 329.78 is: 494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.06 : 1,371.94 = 329.78 : x
  2. Step 2: Convert to fraction form
    915.06/1,371.94 = 329.78/x
  3. Step 3: Cross multiply
    915.06x = 1,371.94 × 329.78
  4. Step 4: Simplify right side
    915.06x = 452,438.37
  5. Step 5: Solve for x
    x = 452,438.37/915.06
  6. Step 6: Final answer
    x = 494.44

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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.