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Finding the Fourth Proportional to 1,639.22, 2,262.42 and 940.59

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Solution

The fourth proportional to 1,639.22, 2,262.42 and 940.59 is: 1,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.22 : 2,262.42 = 940.59 : x
  2. Step 2: Convert to fraction form
    1,639.22/2,262.42 = 940.59/x
  3. Step 3: Cross multiply
    1,639.22x = 2,262.42 × 940.59
  4. Step 4: Simplify right side
    1,639.22x = 2,128,009.63
  5. Step 5: Solve for x
    x = 2,128,009.63/1,639.22
  6. Step 6: Final answer
    x = 1,298.19

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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.