Home / 1,157.32-1,736.25-427.24

Finding the Fourth Proportional to 1,157.32, 1,736.25 and 427.24

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Solution

The fourth proportional to 1,157.32, 1,736.25 and 427.24 is: 640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.32 : 1,736.25 = 427.24 : x
  2. Step 2: Convert to fraction form
    1,157.32/1,736.25 = 427.24/x
  3. Step 3: Cross multiply
    1,157.32x = 1,736.25 × 427.24
  4. Step 4: Simplify right side
    1,157.32x = 741,795.45
  5. Step 5: Solve for x
    x = 741,795.45/1,157.32
  6. Step 6: Final answer
    x = 640.96

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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.