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Finding the Fourth Proportional to 943.56, 1,416.20 and 481.66

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Solution

The fourth proportional to 943.56, 1,416.20 and 481.66 is: 722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.56 : 1,416.20 = 481.66 : x
  2. Step 2: Convert to fraction form
    943.56/1,416.20 = 481.66/x
  3. Step 3: Cross multiply
    943.56x = 1,416.20 × 481.66
  4. Step 4: Simplify right side
    943.56x = 682,120.94
  5. Step 5: Solve for x
    x = 682,120.94/943.56
  6. Step 6: Final answer
    x = 722.92

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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.