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Finding the Fourth Proportional to 950.47, 1,424.49 and 641.59

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Solution

The fourth proportional to 950.47, 1,424.49 and 641.59 is: 961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,424.49 = 641.59 : x
  2. Step 2: Convert to fraction form
    950.47/1,424.49 = 641.59/x
  3. Step 3: Cross multiply
    950.47x = 1,424.49 × 641.59
  4. Step 4: Simplify right side
    950.47x = 913,938.54
  5. Step 5: Solve for x
    x = 913,938.54/950.47
  6. Step 6: Final answer
    x = 961.56

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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.