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Finding the Fourth Proportional to 452.06, 674.78 and 413.60

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Solution

The fourth proportional to 452.06, 674.78 and 413.60 is: 617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 674.78 = 413.60 : x
  2. Step 2: Convert to fraction form
    452.06/674.78 = 413.60/x
  3. Step 3: Cross multiply
    452.06x = 674.78 × 413.60
  4. Step 4: Simplify right side
    452.06x = 279,089.01
  5. Step 5: Solve for x
    x = 279,089.01/452.06
  6. Step 6: Final answer
    x = 617.37

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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.