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Finding the Fourth Proportional to 419.92, 627.05 and 343.03

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Solution

The fourth proportional to 419.92, 627.05 and 343.03 is: 512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 627.05 = 343.03 : x
  2. Step 2: Convert to fraction form
    419.92/627.05 = 343.03/x
  3. Step 3: Cross multiply
    419.92x = 627.05 × 343.03
  4. Step 4: Simplify right side
    419.92x = 215,093.68
  5. Step 5: Solve for x
    x = 215,093.68/419.92
  6. Step 6: Final answer
    x = 512.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.