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Finding the Fourth Proportional to 1,994.61, 2,991.31 and 607.69

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Solution

The fourth proportional to 1,994.61, 2,991.31 and 607.69 is: 911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.61 : 2,991.31 = 607.69 : x
  2. Step 2: Convert to fraction form
    1,994.61/2,991.31 = 607.69/x
  3. Step 3: Cross multiply
    1,994.61x = 2,991.31 × 607.69
  4. Step 4: Simplify right side
    1,994.61x = 1,817,789.17
  5. Step 5: Solve for x
    x = 1,817,789.17/1,994.61
  6. Step 6: Final answer
    x = 911.35

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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.