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Finding the Fourth Proportional to 418.71, 630.26 and 381.79

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Solution

The fourth proportional to 418.71, 630.26 and 381.79 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.71 : 630.26 = 381.79 : x
  2. Step 2: Convert to fraction form
    418.71/630.26 = 381.79/x
  3. Step 3: Cross multiply
    418.71x = 630.26 × 381.79
  4. Step 4: Simplify right side
    418.71x = 240,626.01
  5. Step 5: Solve for x
    x = 240,626.01/418.71
  6. Step 6: Final answer
    x = 574.69

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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.