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Finding the Fourth Proportional to 681.69, 941.03 and 445.78

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Solution

The fourth proportional to 681.69, 941.03 and 445.78 is: 615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 941.03 = 445.78 : x
  2. Step 2: Convert to fraction form
    681.69/941.03 = 445.78/x
  3. Step 3: Cross multiply
    681.69x = 941.03 × 445.78
  4. Step 4: Simplify right side
    681.69x = 419,492.35
  5. Step 5: Solve for x
    x = 419,492.35/681.69
  6. Step 6: Final answer
    x = 615.37

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Half scale
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Double scale
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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.