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Finding the Fourth Proportional to 622.76, 859.77 and 413.22

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Solution

The fourth proportional to 622.76, 859.77 and 413.22 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.76 : 859.77 = 413.22 : x
  2. Step 2: Convert to fraction form
    622.76/859.77 = 413.22/x
  3. Step 3: Cross multiply
    622.76x = 859.77 × 413.22
  4. Step 4: Simplify right side
    622.76x = 355,274.16
  5. Step 5: Solve for x
    x = 355,274.16/622.76
  6. Step 6: Final answer
    x = 570.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.