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Finding the Fourth Proportional to 609.14, 840.36 and 422.78

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Solution

The fourth proportional to 609.14, 840.36 and 422.78 is: 583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.14 : 840.36 = 422.78 : x
  2. Step 2: Convert to fraction form
    609.14/840.36 = 422.78/x
  3. Step 3: Cross multiply
    609.14x = 840.36 × 422.78
  4. Step 4: Simplify right side
    609.14x = 355,283.20
  5. Step 5: Solve for x
    x = 355,283.20/609.14
  6. Step 6: Final answer
    x = 583.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.