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Finding the Fourth Proportional to 537.90, 805.83 and 428.42

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Solution

The fourth proportional to 537.90, 805.83 and 428.42 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.90 : 805.83 = 428.42 : x
  2. Step 2: Convert to fraction form
    537.90/805.83 = 428.42/x
  3. Step 3: Cross multiply
    537.90x = 805.83 × 428.42
  4. Step 4: Simplify right side
    537.90x = 345,229.66
  5. Step 5: Solve for x
    x = 345,229.66/537.90
  6. Step 6: Final answer
    x = 641.81

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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.