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Finding the Fourth Proportional to 1,012.89, 1,519.55 and 319.76

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Solution

The fourth proportional to 1,012.89, 1,519.55 and 319.76 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.89 : 1,519.55 = 319.76 : x
  2. Step 2: Convert to fraction form
    1,012.89/1,519.55 = 319.76/x
  3. Step 3: Cross multiply
    1,012.89x = 1,519.55 × 319.76
  4. Step 4: Simplify right side
    1,012.89x = 485,891.31
  5. Step 5: Solve for x
    x = 485,891.31/1,012.89
  6. Step 6: Final answer
    x = 479.71

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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.