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Finding the Fourth Proportional to 604.08, 833.64 and 338.49

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Solution

The fourth proportional to 604.08, 833.64 and 338.49 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.08 : 833.64 = 338.49 : x
  2. Step 2: Convert to fraction form
    604.08/833.64 = 338.49/x
  3. Step 3: Cross multiply
    604.08x = 833.64 × 338.49
  4. Step 4: Simplify right side
    604.08x = 282,178.80
  5. Step 5: Solve for x
    x = 282,178.80/604.08
  6. Step 6: Final answer
    x = 467.12

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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.