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Finding the Fourth Proportional to 683.65, 1,026.60 and 673.48

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Solution

The fourth proportional to 683.65, 1,026.60 and 673.48 is: 1,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,026.60 = 673.48 : x
  2. Step 2: Convert to fraction form
    683.65/1,026.60 = 673.48/x
  3. Step 3: Cross multiply
    683.65x = 1,026.60 × 673.48
  4. Step 4: Simplify right side
    683.65x = 691,394.57
  5. Step 5: Solve for x
    x = 691,394.57/683.65
  6. Step 6: Final answer
    x = 1,011.33

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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.