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Finding the Fourth Proportional to 550.72, 823.92 and 414.10

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Solution

The fourth proportional to 550.72, 823.92 and 414.10 is: 619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 823.92 = 414.10 : x
  2. Step 2: Convert to fraction form
    550.72/823.92 = 414.10/x
  3. Step 3: Cross multiply
    550.72x = 823.92 × 414.10
  4. Step 4: Simplify right side
    550.72x = 341,185.27
  5. Step 5: Solve for x
    x = 341,185.27/550.72
  6. Step 6: Final answer
    x = 619.53

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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.