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Finding the Fourth Proportional to 1,640.11, 2,263.31 and 894.07

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Solution

The fourth proportional to 1,640.11, 2,263.31 and 894.07 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.11 : 2,263.31 = 894.07 : x
  2. Step 2: Convert to fraction form
    1,640.11/2,263.31 = 894.07/x
  3. Step 3: Cross multiply
    1,640.11x = 2,263.31 × 894.07
  4. Step 4: Simplify right side
    1,640.11x = 2,023,557.57
  5. Step 5: Solve for x
    x = 2,023,557.57/1,640.11
  6. Step 6: Final answer
    x = 1,233.79

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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.