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Finding the Fourth Proportional to 1,043.89, 1,441.14 and 712.80

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Solution

The fourth proportional to 1,043.89, 1,441.14 and 712.80 is: 984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.89 : 1,441.14 = 712.80 : x
  2. Step 2: Convert to fraction form
    1,043.89/1,441.14 = 712.80/x
  3. Step 3: Cross multiply
    1,043.89x = 1,441.14 × 712.80
  4. Step 4: Simplify right side
    1,043.89x = 1,027,244.59
  5. Step 5: Solve for x
    x = 1,027,244.59/1,043.89
  6. Step 6: Final answer
    x = 984.06

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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.