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Finding the Fourth Proportional to 547.97, 754.92 and 379.76

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Solution

The fourth proportional to 547.97, 754.92 and 379.76 is: 523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 754.92 = 379.76 : x
  2. Step 2: Convert to fraction form
    547.97/754.92 = 379.76/x
  3. Step 3: Cross multiply
    547.97x = 754.92 × 379.76
  4. Step 4: Simplify right side
    547.97x = 286,684.64
  5. Step 5: Solve for x
    x = 286,684.64/547.97
  6. Step 6: Final answer
    x = 523.18

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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.