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Finding the Fourth Proportional to 413.12, 619.06 and 382.74

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Solution

The fourth proportional to 413.12, 619.06 and 382.74 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.06 = 382.74 : x
  2. Step 2: Convert to fraction form
    413.12/619.06 = 382.74/x
  3. Step 3: Cross multiply
    413.12x = 619.06 × 382.74
  4. Step 4: Simplify right side
    413.12x = 236,939.02
  5. Step 5: Solve for x
    x = 236,939.02/413.12
  6. Step 6: Final answer
    x = 573.54

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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.