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Finding the Fourth Proportional to 578.22, 865.62 and 506.22

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Solution

The fourth proportional to 578.22, 865.62 and 506.22 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 865.62 = 506.22 : x
  2. Step 2: Convert to fraction form
    578.22/865.62 = 506.22/x
  3. Step 3: Cross multiply
    578.22x = 865.62 × 506.22
  4. Step 4: Simplify right side
    578.22x = 438,194.16
  5. Step 5: Solve for x
    x = 438,194.16/578.22
  6. Step 6: Final answer
    x = 757.83

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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.