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Finding the Fourth Proportional to 481.83, 722.93 and 361.11

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Solution

The fourth proportional to 481.83, 722.93 and 361.11 is: 541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.83 : 722.93 = 361.11 : x
  2. Step 2: Convert to fraction form
    481.83/722.93 = 361.11/x
  3. Step 3: Cross multiply
    481.83x = 722.93 × 361.11
  4. Step 4: Simplify right side
    481.83x = 261,055.45
  5. Step 5: Solve for x
    x = 261,055.45/481.83
  6. Step 6: Final answer
    x = 541.80

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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.