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Finding the Fourth Proportional to 413.78, 619.83 and 341.69

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Solution

The fourth proportional to 413.78, 619.83 and 341.69 is: 511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 619.83 = 341.69 : x
  2. Step 2: Convert to fraction form
    413.78/619.83 = 341.69/x
  3. Step 3: Cross multiply
    413.78x = 619.83 × 341.69
  4. Step 4: Simplify right side
    413.78x = 211,786.61
  5. Step 5: Solve for x
    x = 211,786.61/413.78
  6. Step 6: Final answer
    x = 511.84

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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.