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Finding the Fourth Proportional to 2,284.30, 3,426.67 and 640.84

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Solution

The fourth proportional to 2,284.30, 3,426.67 and 640.84 is: 961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.30 : 3,426.67 = 640.84 : x
  2. Step 2: Convert to fraction form
    2,284.30/3,426.67 = 640.84/x
  3. Step 3: Cross multiply
    2,284.30x = 3,426.67 × 640.84
  4. Step 4: Simplify right side
    2,284.30x = 2,195,957.51
  5. Step 5: Solve for x
    x = 2,195,957.51/2,284.30
  6. Step 6: Final answer
    x = 961.32

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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.