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Finding the Fourth Proportional to 711.92, 982.10 and 413.16

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Solution

The fourth proportional to 711.92, 982.10 and 413.16 is: 569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 982.10 = 413.16 : x
  2. Step 2: Convert to fraction form
    711.92/982.10 = 413.16/x
  3. Step 3: Cross multiply
    711.92x = 982.10 × 413.16
  4. Step 4: Simplify right side
    711.92x = 405,765.47
  5. Step 5: Solve for x
    x = 405,765.47/711.92
  6. Step 6: Final answer
    x = 569.96

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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.