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Finding the Fourth Proportional to 687.89, 942.92 and 678.66

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Solution

The fourth proportional to 687.89, 942.92 and 678.66 is: 930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.89 : 942.92 = 678.66 : x
  2. Step 2: Convert to fraction form
    687.89/942.92 = 678.66/x
  3. Step 3: Cross multiply
    687.89x = 942.92 × 678.66
  4. Step 4: Simplify right side
    687.89x = 639,922.09
  5. Step 5: Solve for x
    x = 639,922.09/687.89
  6. Step 6: Final answer
    x = 930.27

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