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Finding the Fourth Proportional to 1,342.25, 1,850.75 and 1,259.23

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Solution

The fourth proportional to 1,342.25, 1,850.75 and 1,259.23 is: 1,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.25 : 1,850.75 = 1,259.23 : x
  2. Step 2: Convert to fraction form
    1,342.25/1,850.75 = 1,259.23/x
  3. Step 3: Cross multiply
    1,342.25x = 1,850.75 × 1,259.23
  4. Step 4: Simplify right side
    1,342.25x = 2,330,504.37
  5. Step 5: Solve for x
    x = 2,330,504.37/1,342.25
  6. Step 6: Final answer
    x = 1,736.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.