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Finding the Fourth Proportional to 1,204.39, 1,661.88 and 680.41

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Solution

The fourth proportional to 1,204.39, 1,661.88 and 680.41 is: 938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.39 : 1,661.88 = 680.41 : x
  2. Step 2: Convert to fraction form
    1,204.39/1,661.88 = 680.41/x
  3. Step 3: Cross multiply
    1,204.39x = 1,661.88 × 680.41
  4. Step 4: Simplify right side
    1,204.39x = 1,130,759.77
  5. Step 5: Solve for x
    x = 1,130,759.77/1,204.39
  6. Step 6: Final answer
    x = 938.87

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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.