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Finding the Fourth Proportional to 609.16, 917.11 and 418.04

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Solution

The fourth proportional to 609.16, 917.11 and 418.04 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.16 : 917.11 = 418.04 : x
  2. Step 2: Convert to fraction form
    609.16/917.11 = 418.04/x
  3. Step 3: Cross multiply
    609.16x = 917.11 × 418.04
  4. Step 4: Simplify right side
    609.16x = 383,388.66
  5. Step 5: Solve for x
    x = 383,388.66/609.16
  6. Step 6: Final answer
    x = 629.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.