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Finding the Fourth Proportional to 1,381.85, 2,072.17 and 444.57

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Solution

The fourth proportional to 1,381.85, 2,072.17 and 444.57 is: 666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.85 : 2,072.17 = 444.57 : x
  2. Step 2: Convert to fraction form
    1,381.85/2,072.17 = 444.57/x
  3. Step 3: Cross multiply
    1,381.85x = 2,072.17 × 444.57
  4. Step 4: Simplify right side
    1,381.85x = 921,224.62
  5. Step 5: Solve for x
    x = 921,224.62/1,381.85
  6. Step 6: Final answer
    x = 666.66

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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.