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Finding the Fourth Proportional to 658.87, 988.43 and 196.65

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Solution

The fourth proportional to 658.87, 988.43 and 196.65 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.87 : 988.43 = 196.65 : x
  2. Step 2: Convert to fraction form
    658.87/988.43 = 196.65/x
  3. Step 3: Cross multiply
    658.87x = 988.43 × 196.65
  4. Step 4: Simplify right side
    658.87x = 194,374.76
  5. Step 5: Solve for x
    x = 194,374.76/658.87
  6. Step 6: Final answer
    x = 295.01

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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.