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Finding the Fourth Proportional to 1,015.24, 1,512.65 and 949

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Solution

The fourth proportional to 1,015.24, 1,512.65 and 949 is: 1,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.24 : 1,512.65 = 949 : x
  2. Step 2: Convert to fraction form
    1,015.24/1,512.65 = 949/x
  3. Step 3: Cross multiply
    1,015.24x = 1,512.65 × 949
  4. Step 4: Simplify right side
    1,015.24x = 1,435,504.85
  5. Step 5: Solve for x
    x = 1,435,504.85/1,015.24
  6. Step 6: Final answer
    x = 1,413.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.