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Finding the Fourth Proportional to 673.81, 929.97 and 394.18

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Solution

The fourth proportional to 673.81, 929.97 and 394.18 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.81 : 929.97 = 394.18 : x
  2. Step 2: Convert to fraction form
    673.81/929.97 = 394.18/x
  3. Step 3: Cross multiply
    673.81x = 929.97 × 394.18
  4. Step 4: Simplify right side
    673.81x = 366,575.57
  5. Step 5: Solve for x
    x = 366,575.57/673.81
  6. Step 6: Final answer
    x = 544.03

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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.