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Finding the Fourth Proportional to 681.99, 940.82 and 461.01

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Solution

The fourth proportional to 681.99, 940.82 and 461.01 is: 635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.99 : 940.82 = 461.01 : x
  2. Step 2: Convert to fraction form
    681.99/940.82 = 461.01/x
  3. Step 3: Cross multiply
    681.99x = 940.82 × 461.01
  4. Step 4: Simplify right side
    681.99x = 433,727.43
  5. Step 5: Solve for x
    x = 433,727.43/681.99
  6. Step 6: Final answer
    x = 635.97

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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.