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Finding the Fourth Proportional to 2,284.94, 3,426.90 and 641.65

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Solution

The fourth proportional to 2,284.94, 3,426.90 and 641.65 is: 962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.94 : 3,426.90 = 641.65 : x
  2. Step 2: Convert to fraction form
    2,284.94/3,426.90 = 641.65/x
  3. Step 3: Cross multiply
    2,284.94x = 3,426.90 × 641.65
  4. Step 4: Simplify right side
    2,284.94x = 2,198,870.39
  5. Step 5: Solve for x
    x = 2,198,870.39/2,284.94
  6. Step 6: Final answer
    x = 962.33

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1.5x scale

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.