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Finding the Fourth Proportional to 681.99, 940.82 and 461.02

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Solution

The fourth proportional to 681.99, 940.82 and 461.02 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.99 : 940.82 = 461.02 : x
  2. Step 2: Convert to fraction form
    681.99/940.82 = 461.02/x
  3. Step 3: Cross multiply
    681.99x = 940.82 × 461.02
  4. Step 4: Simplify right side
    681.99x = 433,732.13
  5. Step 5: Solve for x
    x = 433,732.13/681.99
  6. Step 6: Final answer
    x = 635.98

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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.