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Finding the Fourth Proportional to 942.78, 1,413.63 and 364.98

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Solution

The fourth proportional to 942.78, 1,413.63 and 364.98 is: 547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.78 : 1,413.63 = 364.98 : x
  2. Step 2: Convert to fraction form
    942.78/1,413.63 = 364.98/x
  3. Step 3: Cross multiply
    942.78x = 1,413.63 × 364.98
  4. Step 4: Simplify right side
    942.78x = 515,946.68
  5. Step 5: Solve for x
    x = 515,946.68/942.78
  6. Step 6: Final answer
    x = 547.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.