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Finding the Fourth Proportional to 989.77, 1,366.09 and 823.82

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Solution

The fourth proportional to 989.77, 1,366.09 and 823.82 is: 1,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.77 : 1,366.09 = 823.82 : x
  2. Step 2: Convert to fraction form
    989.77/1,366.09 = 823.82/x
  3. Step 3: Cross multiply
    989.77x = 1,366.09 × 823.82
  4. Step 4: Simplify right side
    989.77x = 1,125,413.38
  5. Step 5: Solve for x
    x = 1,125,413.38/989.77
  6. Step 6: Final answer
    x = 1,137.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.