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Finding the Fourth Proportional to 609.62, 914.58 and 198.79

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Solution

The fourth proportional to 609.62, 914.58 and 198.79 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.62 : 914.58 = 198.79 : x
  2. Step 2: Convert to fraction form
    609.62/914.58 = 198.79/x
  3. Step 3: Cross multiply
    609.62x = 914.58 × 198.79
  4. Step 4: Simplify right side
    609.62x = 181,807.07
  5. Step 5: Solve for x
    x = 181,807.07/609.62
  6. Step 6: Final answer
    x = 298.23

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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.