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Finding the Fourth Proportional to 711.76, 982.22 and 413.06

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Solution

The fourth proportional to 711.76, 982.22 and 413.06 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 982.22 = 413.06 : x
  2. Step 2: Convert to fraction form
    711.76/982.22 = 413.06/x
  3. Step 3: Cross multiply
    711.76x = 982.22 × 413.06
  4. Step 4: Simplify right side
    711.76x = 405,715.79
  5. Step 5: Solve for x
    x = 405,715.79/711.76
  6. Step 6: Final answer
    x = 570.02

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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.