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Finding the Fourth Proportional to 1,368.40, 2,052.21 and 394.36

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Solution

The fourth proportional to 1,368.40, 2,052.21 and 394.36 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.40 : 2,052.21 = 394.36 : x
  2. Step 2: Convert to fraction form
    1,368.40/2,052.21 = 394.36/x
  3. Step 3: Cross multiply
    1,368.40x = 2,052.21 × 394.36
  4. Step 4: Simplify right side
    1,368.40x = 809,309.54
  5. Step 5: Solve for x
    x = 809,309.54/1,368.40
  6. Step 6: Final answer
    x = 591.43

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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.