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Finding the Fourth Proportional to 1,234.80, 1,852.40 and 413.33

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Solution

The fourth proportional to 1,234.80, 1,852.40 and 413.33 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.80 : 1,852.40 = 413.33 : x
  2. Step 2: Convert to fraction form
    1,234.80/1,852.40 = 413.33/x
  3. Step 3: Cross multiply
    1,234.80x = 1,852.40 × 413.33
  4. Step 4: Simplify right side
    1,234.80x = 765,644.26
  5. Step 5: Solve for x
    x = 765,644.26/1,234.80
  6. Step 6: Final answer
    x = 620.06

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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.