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Finding the Fourth Proportional to 1,183.34, 1,775.28 and 361.73

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Solution

The fourth proportional to 1,183.34, 1,775.28 and 361.73 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.34 : 1,775.28 = 361.73 : x
  2. Step 2: Convert to fraction form
    1,183.34/1,775.28 = 361.73/x
  3. Step 3: Cross multiply
    1,183.34x = 1,775.28 × 361.73
  4. Step 4: Simplify right side
    1,183.34x = 642,163.16
  5. Step 5: Solve for x
    x = 642,163.16/1,183.34
  6. Step 6: Final answer
    x = 542.67

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Double scale
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1.5x scale

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.