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Finding the Fourth Proportional to 1,993.65, 2,990.63 and 607.09

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Solution

The fourth proportional to 1,993.65, 2,990.63 and 607.09 is: 910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.65 : 2,990.63 = 607.09 : x
  2. Step 2: Convert to fraction form
    1,993.65/2,990.63 = 607.09/x
  3. Step 3: Cross multiply
    1,993.65x = 2,990.63 × 607.09
  4. Step 4: Simplify right side
    1,993.65x = 1,815,581.57
  5. Step 5: Solve for x
    x = 1,815,581.57/1,993.65
  6. Step 6: Final answer
    x = 910.68

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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.