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Finding the Fourth Proportional to 416.97, 578.23 and 403.61

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Solution

The fourth proportional to 416.97, 578.23 and 403.61 is: 559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.97 : 578.23 = 403.61 : x
  2. Step 2: Convert to fraction form
    416.97/578.23 = 403.61/x
  3. Step 3: Cross multiply
    416.97x = 578.23 × 403.61
  4. Step 4: Simplify right side
    416.97x = 233,375.51
  5. Step 5: Solve for x
    x = 233,375.51/416.97
  6. Step 6: Final answer
    x = 559.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.