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Finding the Fourth Proportional to 1,409.26, 1,944.77 and 788.26

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Solution

The fourth proportional to 1,409.26, 1,944.77 and 788.26 is: 1,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.26 : 1,944.77 = 788.26 : x
  2. Step 2: Convert to fraction form
    1,409.26/1,944.77 = 788.26/x
  3. Step 3: Cross multiply
    1,409.26x = 1,944.77 × 788.26
  4. Step 4: Simplify right side
    1,409.26x = 1,532,984.40
  5. Step 5: Solve for x
    x = 1,532,984.40/1,409.26
  6. Step 6: Final answer
    x = 1,087.79

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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.