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Finding the Fourth Proportional to 682.09, 940.93 and 461.12

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Solution

The fourth proportional to 682.09, 940.93 and 461.12 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.09 : 940.93 = 461.12 : x
  2. Step 2: Convert to fraction form
    682.09/940.93 = 461.12/x
  3. Step 3: Cross multiply
    682.09x = 940.93 × 461.12
  4. Step 4: Simplify right side
    682.09x = 433,875.78
  5. Step 5: Solve for x
    x = 433,875.78/682.09
  6. Step 6: Final answer
    x = 636.10

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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.