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Finding the Fourth Proportional to 609.78, 847.14 and 604.09

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Solution

The fourth proportional to 609.78, 847.14 and 604.09 is: 839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.78 : 847.14 = 604.09 : x
  2. Step 2: Convert to fraction form
    609.78/847.14 = 604.09/x
  3. Step 3: Cross multiply
    609.78x = 847.14 × 604.09
  4. Step 4: Simplify right side
    609.78x = 511,748.80
  5. Step 5: Solve for x
    x = 511,748.80/609.78
  6. Step 6: Final answer
    x = 839.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.