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Finding the Fourth Proportional to 673.27, 1,009.85 and 401.09

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Solution

The fourth proportional to 673.27, 1,009.85 and 401.09 is: 601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.27 : 1,009.85 = 401.09 : x
  2. Step 2: Convert to fraction form
    673.27/1,009.85 = 401.09/x
  3. Step 3: Cross multiply
    673.27x = 1,009.85 × 401.09
  4. Step 4: Simplify right side
    673.27x = 405,033.68
  5. Step 5: Solve for x
    x = 405,033.68/673.27
  6. Step 6: Final answer
    x = 601.59

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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.