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Finding the Fourth Proportional to 609.67, 914.96 and 393.22

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Solution

The fourth proportional to 609.67, 914.96 and 393.22 is: 590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.67 : 914.96 = 393.22 : x
  2. Step 2: Convert to fraction form
    609.67/914.96 = 393.22/x
  3. Step 3: Cross multiply
    609.67x = 914.96 × 393.22
  4. Step 4: Simplify right side
    609.67x = 359,780.57
  5. Step 5: Solve for x
    x = 359,780.57/609.67
  6. Step 6: Final answer
    x = 590.12

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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.