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Finding the Fourth Proportional to 974.39, 1,454.45 and 845.28

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Solution

The fourth proportional to 974.39, 1,454.45 and 845.28 is: 1,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.39 : 1,454.45 = 845.28 : x
  2. Step 2: Convert to fraction form
    974.39/1,454.45 = 845.28/x
  3. Step 3: Cross multiply
    974.39x = 1,454.45 × 845.28
  4. Step 4: Simplify right side
    974.39x = 1,229,413.27
  5. Step 5: Solve for x
    x = 1,229,413.27/974.39
  6. Step 6: Final answer
    x = 1,261.73

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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.