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Finding the Fourth Proportional to 611.04, 843.21 and 401.34

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Solution

The fourth proportional to 611.04, 843.21 and 401.34 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 843.21 = 401.34 : x
  2. Step 2: Convert to fraction form
    611.04/843.21 = 401.34/x
  3. Step 3: Cross multiply
    611.04x = 843.21 × 401.34
  4. Step 4: Simplify right side
    611.04x = 338,413.90
  5. Step 5: Solve for x
    x = 338,413.90/611.04
  6. Step 6: Final answer
    x = 553.83

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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.