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Finding the Fourth Proportional to 1,074.73, 1,481.34 and 812.29

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Solution

The fourth proportional to 1,074.73, 1,481.34 and 812.29 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.73 : 1,481.34 = 812.29 : x
  2. Step 2: Convert to fraction form
    1,074.73/1,481.34 = 812.29/x
  3. Step 3: Cross multiply
    1,074.73x = 1,481.34 × 812.29
  4. Step 4: Simplify right side
    1,074.73x = 1,203,277.67
  5. Step 5: Solve for x
    x = 1,203,277.67/1,074.73
  6. Step 6: Final answer
    x = 1,119.61

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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.