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Finding the Fourth Proportional to 1,441.48, 1,989.20 and 852.04

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Solution

The fourth proportional to 1,441.48, 1,989.20 and 852.04 is: 1,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.48 : 1,989.20 = 852.04 : x
  2. Step 2: Convert to fraction form
    1,441.48/1,989.20 = 852.04/x
  3. Step 3: Cross multiply
    1,441.48x = 1,989.20 × 852.04
  4. Step 4: Simplify right side
    1,441.48x = 1,694,877.97
  5. Step 5: Solve for x
    x = 1,694,877.97/1,441.48
  6. Step 6: Final answer
    x = 1,175.79

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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.