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Finding the Fourth Proportional to 2,991.80, 4,487.93 and 800.48

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Solution

The fourth proportional to 2,991.80, 4,487.93 and 800.48 is: 1,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.80 : 4,487.93 = 800.48 : x
  2. Step 2: Convert to fraction form
    2,991.80/4,487.93 = 800.48/x
  3. Step 3: Cross multiply
    2,991.80x = 4,487.93 × 800.48
  4. Step 4: Simplify right side
    2,991.80x = 3,592,494.20
  5. Step 5: Solve for x
    x = 3,592,494.20/2,991.80
  6. Step 6: Final answer
    x = 1,200.78

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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.