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Finding the Fourth Proportional to 546.87, 819.72 and 361.91

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Solution

The fourth proportional to 546.87, 819.72 and 361.91 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 819.72 = 361.91 : x
  2. Step 2: Convert to fraction form
    546.87/819.72 = 361.91/x
  3. Step 3: Cross multiply
    546.87x = 819.72 × 361.91
  4. Step 4: Simplify right side
    546.87x = 296,660.77
  5. Step 5: Solve for x
    x = 296,660.77/546.87
  6. Step 6: Final answer
    x = 542.47

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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.