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Finding the Fourth Proportional to 1,769.38, 2,653.70 and 673.45

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Solution

The fourth proportional to 1,769.38, 2,653.70 and 673.45 is: 1,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.38 : 2,653.70 = 673.45 : x
  2. Step 2: Convert to fraction form
    1,769.38/2,653.70 = 673.45/x
  3. Step 3: Cross multiply
    1,769.38x = 2,653.70 × 673.45
  4. Step 4: Simplify right side
    1,769.38x = 1,787,124.26
  5. Step 5: Solve for x
    x = 1,787,124.26/1,769.38
  6. Step 6: Final answer
    x = 1,010.03

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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.