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Finding the Fourth Proportional to 712.04, 982.44 and 413.30

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Solution

The fourth proportional to 712.04, 982.44 and 413.30 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.04 : 982.44 = 413.30 : x
  2. Step 2: Convert to fraction form
    712.04/982.44 = 413.30/x
  3. Step 3: Cross multiply
    712.04x = 982.44 × 413.30
  4. Step 4: Simplify right side
    712.04x = 406,042.45
  5. Step 5: Solve for x
    x = 406,042.45/712.04
  6. Step 6: Final answer
    x = 570.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.