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Finding the Fourth Proportional to 950.26, 1,424.20 and 742.66

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Solution

The fourth proportional to 950.26, 1,424.20 and 742.66 is: 1,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.26 : 1,424.20 = 742.66 : x
  2. Step 2: Convert to fraction form
    950.26/1,424.20 = 742.66/x
  3. Step 3: Cross multiply
    950.26x = 1,424.20 × 742.66
  4. Step 4: Simplify right side
    950.26x = 1,057,696.37
  5. Step 5: Solve for x
    x = 1,057,696.37/950.26
  6. Step 6: Final answer
    x = 1,113.06

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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.