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Finding the Fourth Proportional to 598.34, 825.89 and 349.71

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Solution

The fourth proportional to 598.34, 825.89 and 349.71 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 825.89 = 349.71 : x
  2. Step 2: Convert to fraction form
    598.34/825.89 = 349.71/x
  3. Step 3: Cross multiply
    598.34x = 825.89 × 349.71
  4. Step 4: Simplify right side
    598.34x = 288,821.99
  5. Step 5: Solve for x
    x = 288,821.99/598.34
  6. Step 6: Final answer
    x = 482.71

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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.