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Finding the Fourth Proportional to 546.94, 755.22 and 381.70

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Solution

The fourth proportional to 546.94, 755.22 and 381.70 is: 527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 755.22 = 381.70 : x
  2. Step 2: Convert to fraction form
    546.94/755.22 = 381.70/x
  3. Step 3: Cross multiply
    546.94x = 755.22 × 381.70
  4. Step 4: Simplify right side
    546.94x = 288,267.47
  5. Step 5: Solve for x
    x = 288,267.47/546.94
  6. Step 6: Final answer
    x = 527.06

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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.