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Finding the Fourth Proportional to 682.34, 941.06 and 460.94

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Solution

The fourth proportional to 682.34, 941.06 and 460.94 is: 635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.34 : 941.06 = 460.94 : x
  2. Step 2: Convert to fraction form
    682.34/941.06 = 460.94/x
  3. Step 3: Cross multiply
    682.34x = 941.06 × 460.94
  4. Step 4: Simplify right side
    682.34x = 433,768.64
  5. Step 5: Solve for x
    x = 433,768.64/682.34
  6. Step 6: Final answer
    x = 635.71

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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.