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Finding the Fourth Proportional to 1,012.72, 1,519.38 and 427.78

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Solution

The fourth proportional to 1,012.72, 1,519.38 and 427.78 is: 641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.72 : 1,519.38 = 427.78 : x
  2. Step 2: Convert to fraction form
    1,012.72/1,519.38 = 427.78/x
  3. Step 3: Cross multiply
    1,012.72x = 1,519.38 × 427.78
  4. Step 4: Simplify right side
    1,012.72x = 649,960.38
  5. Step 5: Solve for x
    x = 649,960.38/1,012.72
  6. Step 6: Final answer
    x = 641.80

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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.