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Finding the Fourth Proportional to 1,183.34, 1,775.26 and 361.59

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Solution

The fourth proportional to 1,183.34, 1,775.26 and 361.59 is: 542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.34 : 1,775.26 = 361.59 : x
  2. Step 2: Convert to fraction form
    1,183.34/1,775.26 = 361.59/x
  3. Step 3: Cross multiply
    1,183.34x = 1,775.26 × 361.59
  4. Step 4: Simplify right side
    1,183.34x = 641,911.08
  5. Step 5: Solve for x
    x = 641,911.08/1,183.34
  6. Step 6: Final answer
    x = 542.46

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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.