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Finding the Fourth Proportional to 1,439.41, 1,985.97 and 849.73

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Solution

The fourth proportional to 1,439.41, 1,985.97 and 849.73 is: 1,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.41 : 1,985.97 = 849.73 : x
  2. Step 2: Convert to fraction form
    1,439.41/1,985.97 = 849.73/x
  3. Step 3: Cross multiply
    1,439.41x = 1,985.97 × 849.73
  4. Step 4: Simplify right side
    1,439.41x = 1,687,538.29
  5. Step 5: Solve for x
    x = 1,687,538.29/1,439.41
  6. Step 6: Final answer
    x = 1,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.