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Finding the Fourth Proportional to 604.66, 834.49 and 356.05

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Solution

The fourth proportional to 604.66, 834.49 and 356.05 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.66 : 834.49 = 356.05 : x
  2. Step 2: Convert to fraction form
    604.66/834.49 = 356.05/x
  3. Step 3: Cross multiply
    604.66x = 834.49 × 356.05
  4. Step 4: Simplify right side
    604.66x = 297,122.00
  5. Step 5: Solve for x
    x = 297,122.00/604.66
  6. Step 6: Final answer
    x = 491.39

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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.