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Finding the Fourth Proportional to 1,091.74, 1,629.60 and 963.58

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Solution

The fourth proportional to 1,091.74, 1,629.60 and 963.58 is: 1,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.74 : 1,629.60 = 963.58 : x
  2. Step 2: Convert to fraction form
    1,091.74/1,629.60 = 963.58/x
  3. Step 3: Cross multiply
    1,091.74x = 1,629.60 × 963.58
  4. Step 4: Simplify right side
    1,091.74x = 1,570,249.97
  5. Step 5: Solve for x
    x = 1,570,249.97/1,091.74
  6. Step 6: Final answer
    x = 1,438.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.