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Finding the Fourth Proportional to 1,183.28, 1,774.91 and 635.72

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Solution

The fourth proportional to 1,183.28, 1,774.91 and 635.72 is: 953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.28 : 1,774.91 = 635.72 : x
  2. Step 2: Convert to fraction form
    1,183.28/1,774.91 = 635.72/x
  3. Step 3: Cross multiply
    1,183.28x = 1,774.91 × 635.72
  4. Step 4: Simplify right side
    1,183.28x = 1,128,338.50
  5. Step 5: Solve for x
    x = 1,128,338.50/1,183.28
  6. Step 6: Final answer
    x = 953.57

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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.