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Finding the Fourth Proportional to 2,033.38, 3,049.93 and 646.68

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Solution

The fourth proportional to 2,033.38, 3,049.93 and 646.68 is: 969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.38 : 3,049.93 = 646.68 : x
  2. Step 2: Convert to fraction form
    2,033.38/3,049.93 = 646.68/x
  3. Step 3: Cross multiply
    2,033.38x = 3,049.93 × 646.68
  4. Step 4: Simplify right side
    2,033.38x = 1,972,328.73
  5. Step 5: Solve for x
    x = 1,972,328.73/2,033.38
  6. Step 6: Final answer
    x = 969.98

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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.