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Finding the Fourth Proportional to 598.62, 825.97 and 349.89

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Solution

The fourth proportional to 598.62, 825.97 and 349.89 is: 482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 825.97 = 349.89 : x
  2. Step 2: Convert to fraction form
    598.62/825.97 = 349.89/x
  3. Step 3: Cross multiply
    598.62x = 825.97 × 349.89
  4. Step 4: Simplify right side
    598.62x = 289,003.46
  5. Step 5: Solve for x
    x = 289,003.46/598.62
  6. Step 6: Final answer
    x = 482.78

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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.