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Finding the Fourth Proportional to 1,646.25, 2,469.26 and 413.63

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Solution

The fourth proportional to 1,646.25, 2,469.26 and 413.63 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.25 : 2,469.26 = 413.63 : x
  2. Step 2: Convert to fraction form
    1,646.25/2,469.26 = 413.63/x
  3. Step 3: Cross multiply
    1,646.25x = 2,469.26 × 413.63
  4. Step 4: Simplify right side
    1,646.25x = 1,021,360.01
  5. Step 5: Solve for x
    x = 1,021,360.01/1,646.25
  6. Step 6: Final answer
    x = 620.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.