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Finding the Fourth Proportional to 1,228.26, 1,842.06 and 764.32

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Solution

The fourth proportional to 1,228.26, 1,842.06 and 764.32 is: 1,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.26 : 1,842.06 = 764.32 : x
  2. Step 2: Convert to fraction form
    1,228.26/1,842.06 = 764.32/x
  3. Step 3: Cross multiply
    1,228.26x = 1,842.06 × 764.32
  4. Step 4: Simplify right side
    1,228.26x = 1,407,923.30
  5. Step 5: Solve for x
    x = 1,407,923.30/1,228.26
  6. Step 6: Final answer
    x = 1,146.27

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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.