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Finding the Fourth Proportional to 490.38, 671.81 and 471.89

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Solution

The fourth proportional to 490.38, 671.81 and 471.89 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 671.81 = 471.89 : x
  2. Step 2: Convert to fraction form
    490.38/671.81 = 471.89/x
  3. Step 3: Cross multiply
    490.38x = 671.81 × 471.89
  4. Step 4: Simplify right side
    490.38x = 317,014.70
  5. Step 5: Solve for x
    x = 317,014.70/490.38
  6. Step 6: Final answer
    x = 646.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.