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Finding the Fourth Proportional to 680.93, 940.18 and 419.30

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Solution

The fourth proportional to 680.93, 940.18 and 419.30 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.93 : 940.18 = 419.30 : x
  2. Step 2: Convert to fraction form
    680.93/940.18 = 419.30/x
  3. Step 3: Cross multiply
    680.93x = 940.18 × 419.30
  4. Step 4: Simplify right side
    680.93x = 394,217.47
  5. Step 5: Solve for x
    x = 394,217.47/680.93
  6. Step 6: Final answer
    x = 578.94

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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.