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Finding the Fourth Proportional to 1,550.23, 2,138.62 and 920.78

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Solution

The fourth proportional to 1,550.23, 2,138.62 and 920.78 is: 1,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.23 : 2,138.62 = 920.78 : x
  2. Step 2: Convert to fraction form
    1,550.23/2,138.62 = 920.78/x
  3. Step 3: Cross multiply
    1,550.23x = 2,138.62 × 920.78
  4. Step 4: Simplify right side
    1,550.23x = 1,969,198.52
  5. Step 5: Solve for x
    x = 1,969,198.52/1,550.23
  6. Step 6: Final answer
    x = 1,270.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.