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Finding the Fourth Proportional to 2,991.76, 4,487.90 and 800.50

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Solution

The fourth proportional to 2,991.76, 4,487.90 and 800.50 is: 1,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.76 : 4,487.90 = 800.50 : x
  2. Step 2: Convert to fraction form
    2,991.76/4,487.90 = 800.50/x
  3. Step 3: Cross multiply
    2,991.76x = 4,487.90 × 800.50
  4. Step 4: Simplify right side
    2,991.76x = 3,592,563.95
  5. Step 5: Solve for x
    x = 3,592,563.95/2,991.76
  6. Step 6: Final answer
    x = 1,200.82

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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.