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Finding the Fourth Proportional to 604.21, 833.74 and 338.63

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Solution

The fourth proportional to 604.21, 833.74 and 338.63 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.21 : 833.74 = 338.63 : x
  2. Step 2: Convert to fraction form
    604.21/833.74 = 338.63/x
  3. Step 3: Cross multiply
    604.21x = 833.74 × 338.63
  4. Step 4: Simplify right side
    604.21x = 282,326.27
  5. Step 5: Solve for x
    x = 282,326.27/604.21
  6. Step 6: Final answer
    x = 467.27

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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.