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Finding the Fourth Proportional to 2,991.79, 4,487.82 and 800.47

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Solution

The fourth proportional to 2,991.79, 4,487.82 and 800.47 is: 1,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.79 : 4,487.82 = 800.47 : x
  2. Step 2: Convert to fraction form
    2,991.79/4,487.82 = 800.47/x
  3. Step 3: Cross multiply
    2,991.79x = 4,487.82 × 800.47
  4. Step 4: Simplify right side
    2,991.79x = 3,592,365.28
  5. Step 5: Solve for x
    x = 3,592,365.28/2,991.79
  6. Step 6: Final answer
    x = 1,200.74

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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.