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Finding the Fourth Proportional to 950.58, 1,425.92 and 768.33

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Solution

The fourth proportional to 950.58, 1,425.92 and 768.33 is: 1,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.58 : 1,425.92 = 768.33 : x
  2. Step 2: Convert to fraction form
    950.58/1,425.92 = 768.33/x
  3. Step 3: Cross multiply
    950.58x = 1,425.92 × 768.33
  4. Step 4: Simplify right side
    950.58x = 1,095,577.11
  5. Step 5: Solve for x
    x = 1,095,577.11/950.58
  6. Step 6: Final answer
    x = 1,152.54

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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.