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Finding the Fourth Proportional to 838.50, 1,257.34 and 290.49

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Solution

The fourth proportional to 838.50, 1,257.34 and 290.49 is: 435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,257.34 = 290.49 : x
  2. Step 2: Convert to fraction form
    838.50/1,257.34 = 290.49/x
  3. Step 3: Cross multiply
    838.50x = 1,257.34 × 290.49
  4. Step 4: Simplify right side
    838.50x = 365,244.70
  5. Step 5: Solve for x
    x = 365,244.70/838.50
  6. Step 6: Final answer
    x = 435.59

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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.