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Finding the Fourth Proportional to 705.97, 970.33 and 622.59

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Solution

The fourth proportional to 705.97, 970.33 and 622.59 is: 855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 970.33 = 622.59 : x
  2. Step 2: Convert to fraction form
    705.97/970.33 = 622.59/x
  3. Step 3: Cross multiply
    705.97x = 970.33 × 622.59
  4. Step 4: Simplify right side
    705.97x = 604,113.73
  5. Step 5: Solve for x
    x = 604,113.73/705.97
  6. Step 6: Final answer
    x = 855.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.