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Finding the Fourth Proportional to 1,549.20, 2,325.60 and 891.60

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Solution

The fourth proportional to 1,549.20, 2,325.60 and 891.60 is: 1,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.20 : 2,325.60 = 891.60 : x
  2. Step 2: Convert to fraction form
    1,549.20/2,325.60 = 891.60/x
  3. Step 3: Cross multiply
    1,549.20x = 2,325.60 × 891.60
  4. Step 4: Simplify right side
    1,549.20x = 2,073,504.96
  5. Step 5: Solve for x
    x = 2,073,504.96/1,549.20
  6. Step 6: Final answer
    x = 1,338.44

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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.