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Finding the Fourth Proportional to 1,381.49, 2,072.01 and 394.22

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Solution

The fourth proportional to 1,381.49, 2,072.01 and 394.22 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.49 : 2,072.01 = 394.22 : x
  2. Step 2: Convert to fraction form
    1,381.49/2,072.01 = 394.22/x
  3. Step 3: Cross multiply
    1,381.49x = 2,072.01 × 394.22
  4. Step 4: Simplify right side
    1,381.49x = 816,827.78
  5. Step 5: Solve for x
    x = 816,827.78/1,381.49
  6. Step 6: Final answer
    x = 591.27

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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.