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Finding the Fourth Proportional to 1,368.25, 2,052.68 and 394.27

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Solution

The fourth proportional to 1,368.25, 2,052.68 and 394.27 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.25 : 2,052.68 = 394.27 : x
  2. Step 2: Convert to fraction form
    1,368.25/2,052.68 = 394.27/x
  3. Step 3: Cross multiply
    1,368.25x = 2,052.68 × 394.27
  4. Step 4: Simplify right side
    1,368.25x = 809,310.14
  5. Step 5: Solve for x
    x = 809,310.14/1,368.25
  6. Step 6: Final answer
    x = 591.49

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1.5x scale

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.