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Finding the Fourth Proportional to 637.57, 956.44 and 198.85

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Solution

The fourth proportional to 637.57, 956.44 and 198.85 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.57 : 956.44 = 198.85 : x
  2. Step 2: Convert to fraction form
    637.57/956.44 = 198.85/x
  3. Step 3: Cross multiply
    637.57x = 956.44 × 198.85
  4. Step 4: Simplify right side
    637.57x = 190,188.09
  5. Step 5: Solve for x
    x = 190,188.09/637.57
  6. Step 6: Final answer
    x = 298.30

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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.