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Finding the Fourth Proportional to 614.62, 847.97 and 349.04

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Solution

The fourth proportional to 614.62, 847.97 and 349.04 is: 481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.62 : 847.97 = 349.04 : x
  2. Step 2: Convert to fraction form
    614.62/847.97 = 349.04/x
  3. Step 3: Cross multiply
    614.62x = 847.97 × 349.04
  4. Step 4: Simplify right side
    614.62x = 295,971.21
  5. Step 5: Solve for x
    x = 295,971.21/614.62
  6. Step 6: Final answer
    x = 481.55

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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.