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Finding the Fourth Proportional to 1,091.42, 1,633.36 and 674.78

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Solution

The fourth proportional to 1,091.42, 1,633.36 and 674.78 is: 1,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.42 : 1,633.36 = 674.78 : x
  2. Step 2: Convert to fraction form
    1,091.42/1,633.36 = 674.78/x
  3. Step 3: Cross multiply
    1,091.42x = 1,633.36 × 674.78
  4. Step 4: Simplify right side
    1,091.42x = 1,102,158.66
  5. Step 5: Solve for x
    x = 1,102,158.66/1,091.42
  6. Step 6: Final answer
    x = 1,009.84

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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.