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Finding the Fourth Proportional to 905.87, 1,240.74 and 852.68

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Solution

The fourth proportional to 905.87, 1,240.74 and 852.68 is: 1,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.87 : 1,240.74 = 852.68 : x
  2. Step 2: Convert to fraction form
    905.87/1,240.74 = 852.68/x
  3. Step 3: Cross multiply
    905.87x = 1,240.74 × 852.68
  4. Step 4: Simplify right side
    905.87x = 1,057,955.36
  5. Step 5: Solve for x
    x = 1,057,955.36/905.87
  6. Step 6: Final answer
    x = 1,167.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.