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Finding the Fourth Proportional to 682.62, 941.38 and 461.28

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Solution

The fourth proportional to 682.62, 941.38 and 461.28 is: 636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 941.38 = 461.28 : x
  2. Step 2: Convert to fraction form
    682.62/941.38 = 461.28/x
  3. Step 3: Cross multiply
    682.62x = 941.38 × 461.28
  4. Step 4: Simplify right side
    682.62x = 434,239.77
  5. Step 5: Solve for x
    x = 434,239.77/682.62
  6. Step 6: Final answer
    x = 636.14

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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.