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Finding the Fourth Proportional to 490.25, 671.65 and 471.80

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Solution

The fourth proportional to 490.25, 671.65 and 471.80 is: 646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 671.65 = 471.80 : x
  2. Step 2: Convert to fraction form
    490.25/671.65 = 471.80/x
  3. Step 3: Cross multiply
    490.25x = 671.65 × 471.80
  4. Step 4: Simplify right side
    490.25x = 316,884.47
  5. Step 5: Solve for x
    x = 316,884.47/490.25
  6. Step 6: Final answer
    x = 646.37

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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.