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Finding the Fourth Proportional to 1,183.02, 1,774.23 and 361.23

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Solution

The fourth proportional to 1,183.02, 1,774.23 and 361.23 is: 541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.02 : 1,774.23 = 361.23 : x
  2. Step 2: Convert to fraction form
    1,183.02/1,774.23 = 361.23/x
  3. Step 3: Cross multiply
    1,183.02x = 1,774.23 × 361.23
  4. Step 4: Simplify right side
    1,183.02x = 640,905.10
  5. Step 5: Solve for x
    x = 640,905.10/1,183.02
  6. Step 6: Final answer
    x = 541.75

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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.