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Finding the Fourth Proportional to 942.82, 1,413.72 and 326.47

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Solution

The fourth proportional to 942.82, 1,413.72 and 326.47 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.82 : 1,413.72 = 326.47 : x
  2. Step 2: Convert to fraction form
    942.82/1,413.72 = 326.47/x
  3. Step 3: Cross multiply
    942.82x = 1,413.72 × 326.47
  4. Step 4: Simplify right side
    942.82x = 461,535.54
  5. Step 5: Solve for x
    x = 461,535.54/942.82
  6. Step 6: Final answer
    x = 489.53

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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.