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Finding the Fourth Proportional to 423.83, 634.52 and 337.29

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Solution

The fourth proportional to 423.83, 634.52 and 337.29 is: 504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 634.52 = 337.29 : x
  2. Step 2: Convert to fraction form
    423.83/634.52 = 337.29/x
  3. Step 3: Cross multiply
    423.83x = 634.52 × 337.29
  4. Step 4: Simplify right side
    423.83x = 214,015.56
  5. Step 5: Solve for x
    x = 214,015.56/423.83
  6. Step 6: Final answer
    x = 504.96

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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.