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Finding the Fourth Proportional to 1,786.51, 2,678.70 and 689.97

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Solution

The fourth proportional to 1,786.51, 2,678.70 and 689.97 is: 1,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.51 : 2,678.70 = 689.97 : x
  2. Step 2: Convert to fraction form
    1,786.51/2,678.70 = 689.97/x
  3. Step 3: Cross multiply
    1,786.51x = 2,678.70 × 689.97
  4. Step 4: Simplify right side
    1,786.51x = 1,848,222.64
  5. Step 5: Solve for x
    x = 1,848,222.64/1,786.51
  6. Step 6: Final answer
    x = 1,034.54

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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.