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Finding the Fourth Proportional to 682.12, 940.95 and 461.38

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Solution

The fourth proportional to 682.12, 940.95 and 461.38 is: 636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.12 : 940.95 = 461.38 : x
  2. Step 2: Convert to fraction form
    682.12/940.95 = 461.38/x
  3. Step 3: Cross multiply
    682.12x = 940.95 × 461.38
  4. Step 4: Simplify right side
    682.12x = 434,135.51
  5. Step 5: Solve for x
    x = 434,135.51/682.12
  6. Step 6: Final answer
    x = 636.45

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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.