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Finding the Fourth Proportional to 637.82, 878.87 and 512.98

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Solution

The fourth proportional to 637.82, 878.87 and 512.98 is: 706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 878.87 = 512.98 : x
  2. Step 2: Convert to fraction form
    637.82/878.87 = 512.98/x
  3. Step 3: Cross multiply
    637.82x = 878.87 × 512.98
  4. Step 4: Simplify right side
    637.82x = 450,842.73
  5. Step 5: Solve for x
    x = 450,842.73/637.82
  6. Step 6: Final answer
    x = 706.85

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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.