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Finding the Fourth Proportional to 604.44, 834.15 and 355.76

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Solution

The fourth proportional to 604.44, 834.15 and 355.76 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.44 : 834.15 = 355.76 : x
  2. Step 2: Convert to fraction form
    604.44/834.15 = 355.76/x
  3. Step 3: Cross multiply
    604.44x = 834.15 × 355.76
  4. Step 4: Simplify right side
    604.44x = 296,753.03
  5. Step 5: Solve for x
    x = 296,753.03/604.44
  6. Step 6: Final answer
    x = 490.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.