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Finding the Fourth Proportional to 682.99, 942.24 and 446.86

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Solution

The fourth proportional to 682.99, 942.24 and 446.86 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.99 : 942.24 = 446.86 : x
  2. Step 2: Convert to fraction form
    682.99/942.24 = 446.86/x
  3. Step 3: Cross multiply
    682.99x = 942.24 × 446.86
  4. Step 4: Simplify right side
    682.99x = 421,049.37
  5. Step 5: Solve for x
    x = 421,049.37/682.99
  6. Step 6: Final answer
    x = 616.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.