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Finding the Fourth Proportional to 1,183.71, 1,634.94 and 963.53

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Solution

The fourth proportional to 1,183.71, 1,634.94 and 963.53 is: 1,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.71 : 1,634.94 = 963.53 : x
  2. Step 2: Convert to fraction form
    1,183.71/1,634.94 = 963.53/x
  3. Step 3: Cross multiply
    1,183.71x = 1,634.94 × 963.53
  4. Step 4: Simplify right side
    1,183.71x = 1,575,305.56
  5. Step 5: Solve for x
    x = 1,575,305.56/1,183.71
  6. Step 6: Final answer
    x = 1,330.82

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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.