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Finding the Fourth Proportional to 496.38, 684.07 and 371.58

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Solution

The fourth proportional to 496.38, 684.07 and 371.58 is: 512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 684.07 = 371.58 : x
  2. Step 2: Convert to fraction form
    496.38/684.07 = 371.58/x
  3. Step 3: Cross multiply
    496.38x = 684.07 × 371.58
  4. Step 4: Simplify right side
    496.38x = 254,186.73
  5. Step 5: Solve for x
    x = 254,186.73/496.38
  6. Step 6: Final answer
    x = 512.08

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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.