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Finding the Fourth Proportional to 477.69, 658.64 and 371.38

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Solution

The fourth proportional to 477.69, 658.64 and 371.38 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 658.64 = 371.38 : x
  2. Step 2: Convert to fraction form
    477.69/658.64 = 371.38/x
  3. Step 3: Cross multiply
    477.69x = 658.64 × 371.38
  4. Step 4: Simplify right side
    477.69x = 244,604.15
  5. Step 5: Solve for x
    x = 244,604.15/477.69
  6. Step 6: Final answer
    x = 512.05

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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.