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Finding the Fourth Proportional to 1,193.60, 1,788.41 and 845.21

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Solution

The fourth proportional to 1,193.60, 1,788.41 and 845.21 is: 1,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.60 : 1,788.41 = 845.21 : x
  2. Step 2: Convert to fraction form
    1,193.60/1,788.41 = 845.21/x
  3. Step 3: Cross multiply
    1,193.60x = 1,788.41 × 845.21
  4. Step 4: Simplify right side
    1,193.60x = 1,511,588.60
  5. Step 5: Solve for x
    x = 1,511,588.60/1,193.60
  6. Step 6: Final answer
    x = 1,266.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.