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Finding the Fourth Proportional to 619.16, 926.91 and 413.21

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Solution

The fourth proportional to 619.16, 926.91 and 413.21 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.16 : 926.91 = 413.21 : x
  2. Step 2: Convert to fraction form
    619.16/926.91 = 413.21/x
  3. Step 3: Cross multiply
    619.16x = 926.91 × 413.21
  4. Step 4: Simplify right side
    619.16x = 383,010.80
  5. Step 5: Solve for x
    x = 383,010.80/619.16
  6. Step 6: Final answer
    x = 618.60

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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.