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Finding the Fourth Proportional to 622.97, 859.03 and 413.08

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Solution

The fourth proportional to 622.97, 859.03 and 413.08 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 859.03 = 413.08 : x
  2. Step 2: Convert to fraction form
    622.97/859.03 = 413.08/x
  3. Step 3: Cross multiply
    622.97x = 859.03 × 413.08
  4. Step 4: Simplify right side
    622.97x = 354,848.11
  5. Step 5: Solve for x
    x = 354,848.11/622.97
  6. Step 6: Final answer
    x = 569.61

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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.