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Finding the Fourth Proportional to 662.06, 913.26 and 413.60

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Solution

The fourth proportional to 662.06, 913.26 and 413.60 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 913.26 = 413.60 : x
  2. Step 2: Convert to fraction form
    662.06/913.26 = 413.60/x
  3. Step 3: Cross multiply
    662.06x = 913.26 × 413.60
  4. Step 4: Simplify right side
    662.06x = 377,724.34
  5. Step 5: Solve for x
    x = 377,724.34/662.06
  6. Step 6: Final answer
    x = 570.53

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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.