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Finding the Fourth Proportional to 682.65, 942.27 and 443.43

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Solution

The fourth proportional to 682.65, 942.27 and 443.43 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 942.27 = 443.43 : x
  2. Step 2: Convert to fraction form
    682.65/942.27 = 443.43/x
  3. Step 3: Cross multiply
    682.65x = 942.27 × 443.43
  4. Step 4: Simplify right side
    682.65x = 417,830.79
  5. Step 5: Solve for x
    x = 417,830.79/682.65
  6. Step 6: Final answer
    x = 612.07

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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.