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Finding the Fourth Proportional to 2,663.11, 3,994.68 and 688.74

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Solution

The fourth proportional to 2,663.11, 3,994.68 and 688.74 is: 1,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.11 : 3,994.68 = 688.74 : x
  2. Step 2: Convert to fraction form
    2,663.11/3,994.68 = 688.74/x
  3. Step 3: Cross multiply
    2,663.11x = 3,994.68 × 688.74
  4. Step 4: Simplify right side
    2,663.11x = 2,751,283.51
  5. Step 5: Solve for x
    x = 2,751,283.51/2,663.11
  6. Step 6: Final answer
    x = 1,033.11

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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.