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Finding the Fourth Proportional to 2,022.64, 3,033.93 and 654.64

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Solution

The fourth proportional to 2,022.64, 3,033.93 and 654.64 is: 981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.64 : 3,033.93 = 654.64 : x
  2. Step 2: Convert to fraction form
    2,022.64/3,033.93 = 654.64/x
  3. Step 3: Cross multiply
    2,022.64x = 3,033.93 × 654.64
  4. Step 4: Simplify right side
    2,022.64x = 1,986,131.94
  5. Step 5: Solve for x
    x = 1,986,131.94/2,022.64
  6. Step 6: Final answer
    x = 981.95

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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.