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Finding the Fourth Proportional to 1,012.87, 1,519.23 and 319.73

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Solution

The fourth proportional to 1,012.87, 1,519.23 and 319.73 is: 479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.87 : 1,519.23 = 319.73 : x
  2. Step 2: Convert to fraction form
    1,012.87/1,519.23 = 319.73/x
  3. Step 3: Cross multiply
    1,012.87x = 1,519.23 × 319.73
  4. Step 4: Simplify right side
    1,012.87x = 485,747.21
  5. Step 5: Solve for x
    x = 485,747.21/1,012.87
  6. Step 6: Final answer
    x = 479.58

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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.