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Finding the Fourth Proportional to 418.97, 578.28 and 399.44

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Solution

The fourth proportional to 418.97, 578.28 and 399.44 is: 551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 578.28 = 399.44 : x
  2. Step 2: Convert to fraction form
    418.97/578.28 = 399.44/x
  3. Step 3: Cross multiply
    418.97x = 578.28 × 399.44
  4. Step 4: Simplify right side
    418.97x = 230,988.16
  5. Step 5: Solve for x
    x = 230,988.16/418.97
  6. Step 6: Final answer
    x = 551.32

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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.