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Finding the Fourth Proportional to 1,481.90, 2,223.60 and 741.61

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Solution

The fourth proportional to 1,481.90, 2,223.60 and 741.61 is: 1,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.90 : 2,223.60 = 741.61 : x
  2. Step 2: Convert to fraction form
    1,481.90/2,223.60 = 741.61/x
  3. Step 3: Cross multiply
    1,481.90x = 2,223.60 × 741.61
  4. Step 4: Simplify right side
    1,481.90x = 1,649,035.66
  5. Step 5: Solve for x
    x = 1,649,035.66/1,481.90
  6. Step 6: Final answer
    x = 1,112.79

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1.5x scale

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.