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Finding the Fourth Proportional to 818.97, 1,227.54 and 356.97

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Solution

The fourth proportional to 818.97, 1,227.54 and 356.97 is: 535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.97 : 1,227.54 = 356.97 : x
  2. Step 2: Convert to fraction form
    818.97/1,227.54 = 356.97/x
  3. Step 3: Cross multiply
    818.97x = 1,227.54 × 356.97
  4. Step 4: Simplify right side
    818.97x = 438,194.95
  5. Step 5: Solve for x
    x = 438,194.95/818.97
  6. Step 6: Final answer
    x = 535.06

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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.