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Finding the Fourth Proportional to 837.87, 1,257.15 and 290.44

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Solution

The fourth proportional to 837.87, 1,257.15 and 290.44 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,257.15 = 290.44 : x
  2. Step 2: Convert to fraction form
    837.87/1,257.15 = 290.44/x
  3. Step 3: Cross multiply
    837.87x = 1,257.15 × 290.44
  4. Step 4: Simplify right side
    837.87x = 365,126.65
  5. Step 5: Solve for x
    x = 365,126.65/837.87
  6. Step 6: Final answer
    x = 435.78

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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.