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Finding the Fourth Proportional to 1,994.63, 2,991.56 and 761.75

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Solution

The fourth proportional to 1,994.63, 2,991.56 and 761.75 is: 1,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.63 : 2,991.56 = 761.75 : x
  2. Step 2: Convert to fraction form
    1,994.63/2,991.56 = 761.75/x
  3. Step 3: Cross multiply
    1,994.63x = 2,991.56 × 761.75
  4. Step 4: Simplify right side
    1,994.63x = 2,278,818.99
  5. Step 5: Solve for x
    x = 2,278,818.99/1,994.63
  6. Step 6: Final answer
    x = 1,142.48

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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.