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Finding the Fourth Proportional to 667.46, 996.38 and 576.20

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Solution

The fourth proportional to 667.46, 996.38 and 576.20 is: 860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.46 : 996.38 = 576.20 : x
  2. Step 2: Convert to fraction form
    667.46/996.38 = 576.20/x
  3. Step 3: Cross multiply
    667.46x = 996.38 × 576.20
  4. Step 4: Simplify right side
    667.46x = 574,106.29
  5. Step 5: Solve for x
    x = 574,106.29/667.46
  6. Step 6: Final answer
    x = 860.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.