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Finding the Fourth Proportional to 2,285.04, 3,426.84 and 641.46

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Solution

The fourth proportional to 2,285.04, 3,426.84 and 641.46 is: 961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.04 : 3,426.84 = 641.46 : x
  2. Step 2: Convert to fraction form
    2,285.04/3,426.84 = 641.46/x
  3. Step 3: Cross multiply
    2,285.04x = 3,426.84 × 641.46
  4. Step 4: Simplify right side
    2,285.04x = 2,198,180.79
  5. Step 5: Solve for x
    x = 2,198,180.79/2,285.04
  6. Step 6: Final answer
    x = 961.99

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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.