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Finding the Fourth Proportional to 599.90, 828.25 and 413.33

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Solution

The fourth proportional to 599.90, 828.25 and 413.33 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 828.25 = 413.33 : x
  2. Step 2: Convert to fraction form
    599.90/828.25 = 413.33/x
  3. Step 3: Cross multiply
    599.90x = 828.25 × 413.33
  4. Step 4: Simplify right side
    599.90x = 342,340.57
  5. Step 5: Solve for x
    x = 342,340.57/599.90
  6. Step 6: Final answer
    x = 570.66

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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.