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Finding the Fourth Proportional to 1,122.75, 1,550.36 and 1,072.65

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Solution

The fourth proportional to 1,122.75, 1,550.36 and 1,072.65 is: 1,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.75 : 1,550.36 = 1,072.65 : x
  2. Step 2: Convert to fraction form
    1,122.75/1,550.36 = 1,072.65/x
  3. Step 3: Cross multiply
    1,122.75x = 1,550.36 × 1,072.65
  4. Step 4: Simplify right side
    1,122.75x = 1,662,993.65
  5. Step 5: Solve for x
    x = 1,662,993.65/1,122.75
  6. Step 6: Final answer
    x = 1,481.18

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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.