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Finding the Fourth Proportional to 947.73, 1,413.82 and 881.45

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Solution

The fourth proportional to 947.73, 1,413.82 and 881.45 is: 1,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.73 : 1,413.82 = 881.45 : x
  2. Step 2: Convert to fraction form
    947.73/1,413.82 = 881.45/x
  3. Step 3: Cross multiply
    947.73x = 1,413.82 × 881.45
  4. Step 4: Simplify right side
    947.73x = 1,246,202.37
  5. Step 5: Solve for x
    x = 1,246,202.37/947.73
  6. Step 6: Final answer
    x = 1,314.93

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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.