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Finding the Fourth Proportional to 1,381.47, 2,072.30 and 394.37

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Solution

The fourth proportional to 1,381.47, 2,072.30 and 394.37 is: 591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.47 : 2,072.30 = 394.37 : x
  2. Step 2: Convert to fraction form
    1,381.47/2,072.30 = 394.37/x
  3. Step 3: Cross multiply
    1,381.47x = 2,072.30 × 394.37
  4. Step 4: Simplify right side
    1,381.47x = 817,250.98
  5. Step 5: Solve for x
    x = 817,250.98/1,381.47
  6. Step 6: Final answer
    x = 591.58

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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.