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Finding the Fourth Proportional to 676, 932.84 and 396.10

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Solution

The fourth proportional to 676, 932.84 and 396.10 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 932.84 = 396.10 : x
  2. Step 2: Convert to fraction form
    676/932.84 = 396.10/x
  3. Step 3: Cross multiply
    676x = 932.84 × 396.10
  4. Step 4: Simplify right side
    676x = 369,497.92
  5. Step 5: Solve for x
    x = 369,497.92/676
  6. Step 6: Final answer
    x = 546.59

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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.