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Finding the Fourth Proportional to 550.26, 823.23 and 472.23

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Solution

The fourth proportional to 550.26, 823.23 and 472.23 is: 706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 823.23 = 472.23 : x
  2. Step 2: Convert to fraction form
    550.26/823.23 = 472.23/x
  3. Step 3: Cross multiply
    550.26x = 823.23 × 472.23
  4. Step 4: Simplify right side
    550.26x = 388,753.90
  5. Step 5: Solve for x
    x = 388,753.90/550.26
  6. Step 6: Final answer
    x = 706.49

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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.