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Finding the Fourth Proportional to 626.56, 940.43 and 461.53

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Solution

The fourth proportional to 626.56, 940.43 and 461.53 is: 692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.56 : 940.43 = 461.53 : x
  2. Step 2: Convert to fraction form
    626.56/940.43 = 461.53/x
  3. Step 3: Cross multiply
    626.56x = 940.43 × 461.53
  4. Step 4: Simplify right side
    626.56x = 434,036.66
  5. Step 5: Solve for x
    x = 434,036.66/626.56
  6. Step 6: Final answer
    x = 692.73

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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.