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Finding the Fourth Proportional to 611.98, 843.96 and 413.26

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Solution

The fourth proportional to 611.98, 843.96 and 413.26 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.98 : 843.96 = 413.26 : x
  2. Step 2: Convert to fraction form
    611.98/843.96 = 413.26/x
  3. Step 3: Cross multiply
    611.98x = 843.96 × 413.26
  4. Step 4: Simplify right side
    611.98x = 348,774.91
  5. Step 5: Solve for x
    x = 348,774.91/611.98
  6. Step 6: Final answer
    x = 569.91

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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.