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Finding the Fourth Proportional to 416.82, 621.92 and 370.38

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Solution

The fourth proportional to 416.82, 621.92 and 370.38 is: 552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 621.92 = 370.38 : x
  2. Step 2: Convert to fraction form
    416.82/621.92 = 370.38/x
  3. Step 3: Cross multiply
    416.82x = 621.92 × 370.38
  4. Step 4: Simplify right side
    416.82x = 230,344.88
  5. Step 5: Solve for x
    x = 230,344.88/416.82
  6. Step 6: Final answer
    x = 552.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.