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Finding the Fourth Proportional to 920.90, 1,380.19 and 550.98

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Solution

The fourth proportional to 920.90, 1,380.19 and 550.98 is: 825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.90 : 1,380.19 = 550.98 : x
  2. Step 2: Convert to fraction form
    920.90/1,380.19 = 550.98/x
  3. Step 3: Cross multiply
    920.90x = 1,380.19 × 550.98
  4. Step 4: Simplify right side
    920.90x = 760,447.43
  5. Step 5: Solve for x
    x = 760,447.43/920.90
  6. Step 6: Final answer
    x = 825.77

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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.