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Finding the Fourth Proportional to 1,157.72, 1,736.39 and 427.12

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Solution

The fourth proportional to 1,157.72, 1,736.39 and 427.12 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.72 : 1,736.39 = 427.12 : x
  2. Step 2: Convert to fraction form
    1,157.72/1,736.39 = 427.12/x
  3. Step 3: Cross multiply
    1,157.72x = 1,736.39 × 427.12
  4. Step 4: Simplify right side
    1,157.72x = 741,646.90
  5. Step 5: Solve for x
    x = 741,646.90/1,157.72
  6. Step 6: Final answer
    x = 640.61

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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.