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Finding the Fourth Proportional to 1,441.36, 1,988.94 and 851.78

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Solution

The fourth proportional to 1,441.36, 1,988.94 and 851.78 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.36 : 1,988.94 = 851.78 : x
  2. Step 2: Convert to fraction form
    1,441.36/1,988.94 = 851.78/x
  3. Step 3: Cross multiply
    1,441.36x = 1,988.94 × 851.78
  4. Step 4: Simplify right side
    1,441.36x = 1,694,125.11
  5. Step 5: Solve for x
    x = 1,694,125.11/1,441.36
  6. Step 6: Final answer
    x = 1,175.37

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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.