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Finding the Fourth Proportional to 413.98, 619.65 and 274.88

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Solution

The fourth proportional to 413.98, 619.65 and 274.88 is: 411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.98 : 619.65 = 274.88 : x
  2. Step 2: Convert to fraction form
    413.98/619.65 = 274.88/x
  3. Step 3: Cross multiply
    413.98x = 619.65 × 274.88
  4. Step 4: Simplify right side
    413.98x = 170,331.23
  5. Step 5: Solve for x
    x = 170,331.23/413.98
  6. Step 6: Final answer
    x = 411.45

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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.