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Finding the Fourth Proportional to 673.99, 930.42 and 394.19

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Solution

The fourth proportional to 673.99, 930.42 and 394.19 is: 544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.99 : 930.42 = 394.19 : x
  2. Step 2: Convert to fraction form
    673.99/930.42 = 394.19/x
  3. Step 3: Cross multiply
    673.99x = 930.42 × 394.19
  4. Step 4: Simplify right side
    673.99x = 366,760.09
  5. Step 5: Solve for x
    x = 366,760.09/673.99
  6. Step 6: Final answer
    x = 544.16

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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.