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Finding the Fourth Proportional to 950.44, 1,424.04 and 767.38

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Solution

The fourth proportional to 950.44, 1,424.04 and 767.38 is: 1,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.44 : 1,424.04 = 767.38 : x
  2. Step 2: Convert to fraction form
    950.44/1,424.04 = 767.38/x
  3. Step 3: Cross multiply
    950.44x = 1,424.04 × 767.38
  4. Step 4: Simplify right side
    950.44x = 1,092,779.82
  5. Step 5: Solve for x
    x = 1,092,779.82/950.44
  6. Step 6: Final answer
    x = 1,149.76

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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.