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Finding the Fourth Proportional to 419.83, 627.90 and 337.21

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Solution

The fourth proportional to 419.83, 627.90 and 337.21 is: 504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 627.90 = 337.21 : x
  2. Step 2: Convert to fraction form
    419.83/627.90 = 337.21/x
  3. Step 3: Cross multiply
    419.83x = 627.90 × 337.21
  4. Step 4: Simplify right side
    419.83x = 211,734.16
  5. Step 5: Solve for x
    x = 211,734.16/419.83
  6. Step 6: Final answer
    x = 504.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.