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Finding the Fourth Proportional to 604.89, 834.66 and 356.22

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Solution

The fourth proportional to 604.89, 834.66 and 356.22 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.89 : 834.66 = 356.22 : x
  2. Step 2: Convert to fraction form
    604.89/834.66 = 356.22/x
  3. Step 3: Cross multiply
    604.89x = 834.66 × 356.22
  4. Step 4: Simplify right side
    604.89x = 297,322.59
  5. Step 5: Solve for x
    x = 297,322.59/604.89
  6. Step 6: Final answer
    x = 491.53

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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.