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Finding the Fourth Proportional to 413.04, 622.08 and 374.88

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Solution

The fourth proportional to 413.04, 622.08 and 374.88 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 622.08 = 374.88 : x
  2. Step 2: Convert to fraction form
    413.04/622.08 = 374.88/x
  3. Step 3: Cross multiply
    413.04x = 622.08 × 374.88
  4. Step 4: Simplify right side
    413.04x = 233,205.35
  5. Step 5: Solve for x
    x = 233,205.35/413.04
  6. Step 6: Final answer
    x = 564.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.