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Finding the Fourth Proportional to 681.75, 940.82 and 649.35

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Solution

The fourth proportional to 681.75, 940.82 and 649.35 is: 896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 940.82 = 649.35 : x
  2. Step 2: Convert to fraction form
    681.75/940.82 = 649.35/x
  3. Step 3: Cross multiply
    681.75x = 940.82 × 649.35
  4. Step 4: Simplify right side
    681.75x = 610,918.22
  5. Step 5: Solve for x
    x = 610,918.22/681.75
  6. Step 6: Final answer
    x = 896.10

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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.