Home / 1,157.56-1,736.88-580.36

Finding the Fourth Proportional to 1,157.56, 1,736.88 and 580.36

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Solution

The fourth proportional to 1,157.56, 1,736.88 and 580.36 is: 870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.56 : 1,736.88 = 580.36 : x
  2. Step 2: Convert to fraction form
    1,157.56/1,736.88 = 580.36/x
  3. Step 3: Cross multiply
    1,157.56x = 1,736.88 × 580.36
  4. Step 4: Simplify right side
    1,157.56x = 1,008,015.68
  5. Step 5: Solve for x
    x = 1,008,015.68/1,157.56
  6. Step 6: Final answer
    x = 870.81

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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.