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Finding the Fourth Proportional to 604.12, 833.66 and 338.56

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Solution

The fourth proportional to 604.12, 833.66 and 338.56 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.12 : 833.66 = 338.56 : x
  2. Step 2: Convert to fraction form
    604.12/833.66 = 338.56/x
  3. Step 3: Cross multiply
    604.12x = 833.66 × 338.56
  4. Step 4: Simplify right side
    604.12x = 282,243.93
  5. Step 5: Solve for x
    x = 282,243.93/604.12
  6. Step 6: Final answer
    x = 467.20

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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.