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Finding the Fourth Proportional to 684.25, 942.32 and 622.73

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Solution

The fourth proportional to 684.25, 942.32 and 622.73 is: 857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 942.32 = 622.73 : x
  2. Step 2: Convert to fraction form
    684.25/942.32 = 622.73/x
  3. Step 3: Cross multiply
    684.25x = 942.32 × 622.73
  4. Step 4: Simplify right side
    684.25x = 586,814.85
  5. Step 5: Solve for x
    x = 586,814.85/684.25
  6. Step 6: Final answer
    x = 857.61

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1.5x scale

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.