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Finding the Fourth Proportional to 578.22, 865.80 and 405.10

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Solution

The fourth proportional to 578.22, 865.80 and 405.10 is: 606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 865.80 = 405.10 : x
  2. Step 2: Convert to fraction form
    578.22/865.80 = 405.10/x
  3. Step 3: Cross multiply
    578.22x = 865.80 × 405.10
  4. Step 4: Simplify right side
    578.22x = 350,735.58
  5. Step 5: Solve for x
    x = 350,735.58/578.22
  6. Step 6: Final answer
    x = 606.58

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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.