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Finding the Fourth Proportional to 681.79, 940.74 and 419.66

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Solution

The fourth proportional to 681.79, 940.74 and 419.66 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.79 : 940.74 = 419.66 : x
  2. Step 2: Convert to fraction form
    681.79/940.74 = 419.66/x
  3. Step 3: Cross multiply
    681.79x = 940.74 × 419.66
  4. Step 4: Simplify right side
    681.79x = 394,790.95
  5. Step 5: Solve for x
    x = 394,790.95/681.79
  6. Step 6: Final answer
    x = 579.05

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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.