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Finding the Fourth Proportional to 604.73, 834.44 and 356.02

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Solution

The fourth proportional to 604.73, 834.44 and 356.02 is: 491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.73 : 834.44 = 356.02 : x
  2. Step 2: Convert to fraction form
    604.73/834.44 = 356.02/x
  3. Step 3: Cross multiply
    604.73x = 834.44 × 356.02
  4. Step 4: Simplify right side
    604.73x = 297,073.46
  5. Step 5: Solve for x
    x = 297,073.46/604.73
  6. Step 6: Final answer
    x = 491.25

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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.