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Finding the Fourth Proportional to 609.22, 841.13 and 469.09

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Solution

The fourth proportional to 609.22, 841.13 and 469.09 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.22 : 841.13 = 469.09 : x
  2. Step 2: Convert to fraction form
    609.22/841.13 = 469.09/x
  3. Step 3: Cross multiply
    609.22x = 841.13 × 469.09
  4. Step 4: Simplify right side
    609.22x = 394,568.78
  5. Step 5: Solve for x
    x = 394,568.78/609.22
  6. Step 6: Final answer
    x = 647.66

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