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Finding the Fourth Proportional to 712.05, 982.75 and 413.25

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Solution

The fourth proportional to 712.05, 982.75 and 413.25 is: 570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.05 : 982.75 = 413.25 : x
  2. Step 2: Convert to fraction form
    712.05/982.75 = 413.25/x
  3. Step 3: Cross multiply
    712.05x = 982.75 × 413.25
  4. Step 4: Simplify right side
    712.05x = 406,121.44
  5. Step 5: Solve for x
    x = 406,121.44/712.05
  6. Step 6: Final answer
    x = 570.36

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1.5x scale

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.