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Finding the Fourth Proportional to 603.85, 833.12 and 338.25

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Solution

The fourth proportional to 603.85, 833.12 and 338.25 is: 466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.85 : 833.12 = 338.25 : x
  2. Step 2: Convert to fraction form
    603.85/833.12 = 338.25/x
  3. Step 3: Cross multiply
    603.85x = 833.12 × 338.25
  4. Step 4: Simplify right side
    603.85x = 281,801.15
  5. Step 5: Solve for x
    x = 281,801.15/603.85
  6. Step 6: Final answer
    x = 466.68

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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.