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Finding the Fourth Proportional to 547.82, 755.43 and 381.95

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Solution

The fourth proportional to 547.82, 755.43 and 381.95 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 755.43 = 381.95 : x
  2. Step 2: Convert to fraction form
    547.82/755.43 = 381.95/x
  3. Step 3: Cross multiply
    547.82x = 755.43 × 381.95
  4. Step 4: Simplify right side
    547.82x = 288,536.49
  5. Step 5: Solve for x
    x = 288,536.49/547.82
  6. Step 6: Final answer
    x = 526.70

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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.