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Finding the Fourth Proportional to 942.92, 1,413.14 and 394.78

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Solution

The fourth proportional to 942.92, 1,413.14 and 394.78 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.92 : 1,413.14 = 394.78 : x
  2. Step 2: Convert to fraction form
    942.92/1,413.14 = 394.78/x
  3. Step 3: Cross multiply
    942.92x = 1,413.14 × 394.78
  4. Step 4: Simplify right side
    942.92x = 557,879.41
  5. Step 5: Solve for x
    x = 557,879.41/942.92
  6. Step 6: Final answer
    x = 591.65

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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.