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Finding the Fourth Proportional to 1,194.21, 1,788.75 and 918.27

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Solution

The fourth proportional to 1,194.21, 1,788.75 and 918.27 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.21 : 1,788.75 = 918.27 : x
  2. Step 2: Convert to fraction form
    1,194.21/1,788.75 = 918.27/x
  3. Step 3: Cross multiply
    1,194.21x = 1,788.75 × 918.27
  4. Step 4: Simplify right side
    1,194.21x = 1,642,555.46
  5. Step 5: Solve for x
    x = 1,642,555.46/1,194.21
  6. Step 6: Final answer
    x = 1,375.43

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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.