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Finding the Fourth Proportional to 943.38, 1,413.06 and 879.29

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Solution

The fourth proportional to 943.38, 1,413.06 and 879.29 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.38 : 1,413.06 = 879.29 : x
  2. Step 2: Convert to fraction form
    943.38/1,413.06 = 879.29/x
  3. Step 3: Cross multiply
    943.38x = 1,413.06 × 879.29
  4. Step 4: Simplify right side
    943.38x = 1,242,489.53
  5. Step 5: Solve for x
    x = 1,242,489.53/943.38
  6. Step 6: Final answer
    x = 1,317.06

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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.