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Finding the Fourth Proportional to 418.11, 630.29 and 411.81

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Solution

The fourth proportional to 418.11, 630.29 and 411.81 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 630.29 = 411.81 : x
  2. Step 2: Convert to fraction form
    418.11/630.29 = 411.81/x
  3. Step 3: Cross multiply
    418.11x = 630.29 × 411.81
  4. Step 4: Simplify right side
    418.11x = 259,557.67
  5. Step 5: Solve for x
    x = 259,557.67/418.11
  6. Step 6: Final answer
    x = 620.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.