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Finding the Fourth Proportional to 1,012.51, 1,519.46 and 354.39

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Solution

The fourth proportional to 1,012.51, 1,519.46 and 354.39 is: 531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.51 : 1,519.46 = 354.39 : x
  2. Step 2: Convert to fraction form
    1,012.51/1,519.46 = 354.39/x
  3. Step 3: Cross multiply
    1,012.51x = 1,519.46 × 354.39
  4. Step 4: Simplify right side
    1,012.51x = 538,481.43
  5. Step 5: Solve for x
    x = 538,481.43/1,012.51
  6. Step 6: Final answer
    x = 531.83

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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.