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Finding the Fourth Proportional to 598.37, 825.79 and 349.77

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Solution

The fourth proportional to 598.37, 825.79 and 349.77 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 825.79 = 349.77 : x
  2. Step 2: Convert to fraction form
    598.37/825.79 = 349.77/x
  3. Step 3: Cross multiply
    598.37x = 825.79 × 349.77
  4. Step 4: Simplify right side
    598.37x = 288,836.57
  5. Step 5: Solve for x
    x = 288,836.57/598.37
  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.