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Finding the Fourth Proportional to 1,640.59, 2,263.93 and 894.55

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Solution

The fourth proportional to 1,640.59, 2,263.93 and 894.55 is: 1,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.59 : 2,263.93 = 894.55 : x
  2. Step 2: Convert to fraction form
    1,640.59/2,263.93 = 894.55/x
  3. Step 3: Cross multiply
    1,640.59x = 2,263.93 × 894.55
  4. Step 4: Simplify right side
    1,640.59x = 2,025,198.58
  5. Step 5: Solve for x
    x = 2,025,198.58/1,640.59
  6. Step 6: Final answer
    x = 1,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.