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Finding the Fourth Proportional to 418.97, 575.03 and 401.15

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Solution

The fourth proportional to 418.97, 575.03 and 401.15 is: 550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 575.03 = 401.15 : x
  2. Step 2: Convert to fraction form
    418.97/575.03 = 401.15/x
  3. Step 3: Cross multiply
    418.97x = 575.03 × 401.15
  4. Step 4: Simplify right side
    418.97x = 230,675.72
  5. Step 5: Solve for x
    x = 230,675.72/418.97
  6. Step 6: Final answer
    x = 550.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.