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Finding the Fourth Proportional to 684.67, 942.67 and 622.31

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Solution

The fourth proportional to 684.67, 942.67 and 622.31 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.67 : 942.67 = 622.31 : x
  2. Step 2: Convert to fraction form
    684.67/942.67 = 622.31/x
  3. Step 3: Cross multiply
    684.67x = 942.67 × 622.31
  4. Step 4: Simplify right side
    684.67x = 586,625.14
  5. Step 5: Solve for x
    x = 586,625.14/684.67
  6. Step 6: Final answer
    x = 856.81

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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.