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Finding the Fourth Proportional to 1,200.80, 1,799.84 and 712.96

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Solution

The fourth proportional to 1,200.80, 1,799.84 and 712.96 is: 1,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,799.84 = 712.96 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,799.84 = 712.96/x
  3. Step 3: Cross multiply
    1,200.80x = 1,799.84 × 712.96
  4. Step 4: Simplify right side
    1,200.80x = 1,283,213.93
  5. Step 5: Solve for x
    x = 1,283,213.93/1,200.80
  6. Step 6: Final answer
    x = 1,068.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.