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Finding the Fourth Proportional to 579.80, 867.52 and 550.12

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Solution

The fourth proportional to 579.80, 867.52 and 550.12 is: 823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 867.52 = 550.12 : x
  2. Step 2: Convert to fraction form
    579.80/867.52 = 550.12/x
  3. Step 3: Cross multiply
    579.80x = 867.52 × 550.12
  4. Step 4: Simplify right side
    579.80x = 477,240.10
  5. Step 5: Solve for x
    x = 477,240.10/579.80
  6. Step 6: Final answer
    x = 823.11

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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.