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Finding the Fourth Proportional to 620.41, 855.42 and 472.78

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Solution

The fourth proportional to 620.41, 855.42 and 472.78 is: 651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.41 : 855.42 = 472.78 : x
  2. Step 2: Convert to fraction form
    620.41/855.42 = 472.78/x
  3. Step 3: Cross multiply
    620.41x = 855.42 × 472.78
  4. Step 4: Simplify right side
    620.41x = 404,425.47
  5. Step 5: Solve for x
    x = 404,425.47/620.41
  6. Step 6: Final answer
    x = 651.87

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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.