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Finding the Fourth Proportional to 1,012.68, 1,517.94 and 427.56

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Solution

The fourth proportional to 1,012.68, 1,517.94 and 427.56 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.68 : 1,517.94 = 427.56 : x
  2. Step 2: Convert to fraction form
    1,012.68/1,517.94 = 427.56/x
  3. Step 3: Cross multiply
    1,012.68x = 1,517.94 × 427.56
  4. Step 4: Simplify right side
    1,012.68x = 649,010.43
  5. Step 5: Solve for x
    x = 649,010.43/1,012.68
  6. Step 6: Final answer
    x = 640.88

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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.