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Finding the Fourth Proportional to 682.46, 942.09 and 461.54

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Solution

The fourth proportional to 682.46, 942.09 and 461.54 is: 637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 942.09 = 461.54 : x
  2. Step 2: Convert to fraction form
    682.46/942.09 = 461.54/x
  3. Step 3: Cross multiply
    682.46x = 942.09 × 461.54
  4. Step 4: Simplify right side
    682.46x = 434,812.22
  5. Step 5: Solve for x
    x = 434,812.22/682.46
  6. Step 6: Final answer
    x = 637.12

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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.