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Finding the Fourth Proportional to 601, 829.38 and 394.36

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Solution

The fourth proportional to 601, 829.38 and 394.36 is: 544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 829.38 = 394.36 : x
  2. Step 2: Convert to fraction form
    601/829.38 = 394.36/x
  3. Step 3: Cross multiply
    601x = 829.38 × 394.36
  4. Step 4: Simplify right side
    601x = 327,074.30
  5. Step 5: Solve for x
    x = 327,074.30/601
  6. Step 6: Final answer
    x = 544.22

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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.