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Finding the Fourth Proportional to 1,183.94, 1,633.85 and 742.10

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Solution

The fourth proportional to 1,183.94, 1,633.85 and 742.10 is: 1,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.94 : 1,633.85 = 742.10 : x
  2. Step 2: Convert to fraction form
    1,183.94/1,633.85 = 742.10/x
  3. Step 3: Cross multiply
    1,183.94x = 1,633.85 × 742.10
  4. Step 4: Simplify right side
    1,183.94x = 1,212,480.09
  5. Step 5: Solve for x
    x = 1,212,480.09/1,183.94
  6. Step 6: Final answer
    x = 1,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.