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Finding the Fourth Proportional to 547.17, 754.83 and 326.04

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Solution

The fourth proportional to 547.17, 754.83 and 326.04 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 754.83 = 326.04 : x
  2. Step 2: Convert to fraction form
    547.17/754.83 = 326.04/x
  3. Step 3: Cross multiply
    547.17x = 754.83 × 326.04
  4. Step 4: Simplify right side
    547.17x = 246,104.77
  5. Step 5: Solve for x
    x = 246,104.77/547.17
  6. Step 6: Final answer
    x = 449.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.