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Finding the Fourth Proportional to 550.83, 823.80 and 419.34

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Solution

The fourth proportional to 550.83, 823.80 and 419.34 is: 627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.83 : 823.80 = 419.34 : x
  2. Step 2: Convert to fraction form
    550.83/823.80 = 419.34/x
  3. Step 3: Cross multiply
    550.83x = 823.80 × 419.34
  4. Step 4: Simplify right side
    550.83x = 345,452.29
  5. Step 5: Solve for x
    x = 345,452.29/550.83
  6. Step 6: Final answer
    x = 627.15

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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.