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Finding the Fourth Proportional to 637.65, 956.63 and 198.89

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Solution

The fourth proportional to 637.65, 956.63 and 198.89 is: 298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.65 : 956.63 = 198.89 : x
  2. Step 2: Convert to fraction form
    637.65/956.63 = 198.89/x
  3. Step 3: Cross multiply
    637.65x = 956.63 × 198.89
  4. Step 4: Simplify right side
    637.65x = 190,258.36
  5. Step 5: Solve for x
    x = 190,258.36/637.65
  6. Step 6: Final answer
    x = 298.37

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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.