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Finding the Fourth Proportional to 2,033.16, 3,049.71 and 646.58

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Solution

The fourth proportional to 2,033.16, 3,049.71 and 646.58 is: 969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.16 : 3,049.71 = 646.58 : x
  2. Step 2: Convert to fraction form
    2,033.16/3,049.71 = 646.58/x
  3. Step 3: Cross multiply
    2,033.16x = 3,049.71 × 646.58
  4. Step 4: Simplify right side
    2,033.16x = 1,971,881.49
  5. Step 5: Solve for x
    x = 1,971,881.49/2,033.16
  6. Step 6: Final answer
    x = 969.86

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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.