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Finding the Fourth Proportional to 603.75, 833.13 and 338.14

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Solution

The fourth proportional to 603.75, 833.13 and 338.14 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 833.13 = 338.14 : x
  2. Step 2: Convert to fraction form
    603.75/833.13 = 338.14/x
  3. Step 3: Cross multiply
    603.75x = 833.13 × 338.14
  4. Step 4: Simplify right side
    603.75x = 281,714.67
  5. Step 5: Solve for x
    x = 281,714.67/603.75
  6. Step 6: Final answer
    x = 466.61

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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.