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Finding the Fourth Proportional to 1,183.36, 1,774.96 and 453.01

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Solution

The fourth proportional to 1,183.36, 1,774.96 and 453.01 is: 679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.36 : 1,774.96 = 453.01 : x
  2. Step 2: Convert to fraction form
    1,183.36/1,774.96 = 453.01/x
  3. Step 3: Cross multiply
    1,183.36x = 1,774.96 × 453.01
  4. Step 4: Simplify right side
    1,183.36x = 804,074.63
  5. Step 5: Solve for x
    x = 804,074.63/1,183.36
  6. Step 6: Final answer
    x = 679.48

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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.