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Finding the Fourth Proportional to 950.25, 1,424.85 and 512.03

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Solution

The fourth proportional to 950.25, 1,424.85 and 512.03 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,424.85 = 512.03 : x
  2. Step 2: Convert to fraction form
    950.25/1,424.85 = 512.03/x
  3. Step 3: Cross multiply
    950.25x = 1,424.85 × 512.03
  4. Step 4: Simplify right side
    950.25x = 729,558.82
  5. Step 5: Solve for x
    x = 729,558.82/950.25
  6. Step 6: Final answer
    x = 767.75

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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.