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Finding the Fourth Proportional to 578.31, 865.22 and 405.27

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Solution

The fourth proportional to 578.31, 865.22 and 405.27 is: 606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 865.22 = 405.27 : x
  2. Step 2: Convert to fraction form
    578.31/865.22 = 405.27/x
  3. Step 3: Cross multiply
    578.31x = 865.22 × 405.27
  4. Step 4: Simplify right side
    578.31x = 350,645.68
  5. Step 5: Solve for x
    x = 350,645.68/578.31
  6. Step 6: Final answer
    x = 606.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.