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Finding the Fourth Proportional to 609.39, 914.49 and 335.68

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Solution

The fourth proportional to 609.39, 914.49 and 335.68 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.39 : 914.49 = 335.68 : x
  2. Step 2: Convert to fraction form
    609.39/914.49 = 335.68/x
  3. Step 3: Cross multiply
    609.39x = 914.49 × 335.68
  4. Step 4: Simplify right side
    609.39x = 306,973.72
  5. Step 5: Solve for x
    x = 306,973.72/609.39
  6. Step 6: Final answer
    x = 503.74

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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.