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Finding the Fourth Proportional to 622.82, 859.62 and 413.01

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Solution

The fourth proportional to 622.82, 859.62 and 413.01 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.82 : 859.62 = 413.01 : x
  2. Step 2: Convert to fraction form
    622.82/859.62 = 413.01/x
  3. Step 3: Cross multiply
    622.82x = 859.62 × 413.01
  4. Step 4: Simplify right side
    622.82x = 355,025.29
  5. Step 5: Solve for x
    x = 355,025.29/622.82
  6. Step 6: Final answer
    x = 570.03

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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.