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Finding the Fourth Proportional to 1,368.20, 2,052.36 and 394.28

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Solution

The fourth proportional to 1,368.20, 2,052.36 and 394.28 is: 591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.20 : 2,052.36 = 394.28 : x
  2. Step 2: Convert to fraction form
    1,368.20/2,052.36 = 394.28/x
  3. Step 3: Cross multiply
    1,368.20x = 2,052.36 × 394.28
  4. Step 4: Simplify right side
    1,368.20x = 809,204.50
  5. Step 5: Solve for x
    x = 809,204.50/1,368.20
  6. Step 6: Final answer
    x = 591.44

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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.