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Finding the Fourth Proportional to 997.76, 1,494.48 and 943.86

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Solution

The fourth proportional to 997.76, 1,494.48 and 943.86 is: 1,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.76 : 1,494.48 = 943.86 : x
  2. Step 2: Convert to fraction form
    997.76/1,494.48 = 943.86/x
  3. Step 3: Cross multiply
    997.76x = 1,494.48 × 943.86
  4. Step 4: Simplify right side
    997.76x = 1,410,579.89
  5. Step 5: Solve for x
    x = 1,410,579.89/997.76
  6. Step 6: Final answer
    x = 1,413.75

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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.