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Finding the Fourth Proportional to 626.49, 940.34 and 463.68

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Solution

The fourth proportional to 626.49, 940.34 and 463.68 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.49 : 940.34 = 463.68 : x
  2. Step 2: Convert to fraction form
    626.49/940.34 = 463.68/x
  3. Step 3: Cross multiply
    626.49x = 940.34 × 463.68
  4. Step 4: Simplify right side
    626.49x = 436,016.85
  5. Step 5: Solve for x
    x = 436,016.85/626.49
  6. Step 6: Final answer
    x = 695.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.