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Finding the Fourth Proportional to 1,183.21, 1,774.76 and 361.42

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Solution

The fourth proportional to 1,183.21, 1,774.76 and 361.42 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.21 : 1,774.76 = 361.42 : x
  2. Step 2: Convert to fraction form
    1,183.21/1,774.76 = 361.42/x
  3. Step 3: Cross multiply
    1,183.21x = 1,774.76 × 361.42
  4. Step 4: Simplify right side
    1,183.21x = 641,427.52
  5. Step 5: Solve for x
    x = 641,427.52/1,183.21
  6. Step 6: Final answer
    x = 542.11

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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.