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Finding the Fourth Proportional to 1,439.82, 1,987.26 and 850.68

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Solution

The fourth proportional to 1,439.82, 1,987.26 and 850.68 is: 1,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.82 : 1,987.26 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,439.82/1,987.26 = 850.68/x
  3. Step 3: Cross multiply
    1,439.82x = 1,987.26 × 850.68
  4. Step 4: Simplify right side
    1,439.82x = 1,690,522.34
  5. Step 5: Solve for x
    x = 1,690,522.34/1,439.82
  6. Step 6: Final answer
    x = 1,174.12

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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.