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Finding the Fourth Proportional to 946.73, 1,413.70 and 773.73

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Solution

The fourth proportional to 946.73, 1,413.70 and 773.73 is: 1,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.73 : 1,413.70 = 773.73 : x
  2. Step 2: Convert to fraction form
    946.73/1,413.70 = 773.73/x
  3. Step 3: Cross multiply
    946.73x = 1,413.70 × 773.73
  4. Step 4: Simplify right side
    946.73x = 1,093,822.10
  5. Step 5: Solve for x
    x = 1,093,822.10/946.73
  6. Step 6: Final answer
    x = 1,155.37

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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.