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Finding the Fourth Proportional to 609.21, 840.42 and 451.49

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Solution

The fourth proportional to 609.21, 840.42 and 451.49 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.21 : 840.42 = 451.49 : x
  2. Step 2: Convert to fraction form
    609.21/840.42 = 451.49/x
  3. Step 3: Cross multiply
    609.21x = 840.42 × 451.49
  4. Step 4: Simplify right side
    609.21x = 379,437.02
  5. Step 5: Solve for x
    x = 379,437.02/609.21
  6. Step 6: Final answer
    x = 622.83

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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.