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Finding the Fourth Proportional to 933.93, 1,400.83 and 413.78

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Solution

The fourth proportional to 933.93, 1,400.83 and 413.78 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.93 : 1,400.83 = 413.78 : x
  2. Step 2: Convert to fraction form
    933.93/1,400.83 = 413.78/x
  3. Step 3: Cross multiply
    933.93x = 1,400.83 × 413.78
  4. Step 4: Simplify right side
    933.93x = 579,627.40
  5. Step 5: Solve for x
    x = 579,627.40/933.93
  6. Step 6: Final answer
    x = 620.63

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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.