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Finding the Fourth Proportional to 950.06, 1,305.80 and 838.86

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Solution

The fourth proportional to 950.06, 1,305.80 and 838.86 is: 1,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.06 : 1,305.80 = 838.86 : x
  2. Step 2: Convert to fraction form
    950.06/1,305.80 = 838.86/x
  3. Step 3: Cross multiply
    950.06x = 1,305.80 × 838.86
  4. Step 4: Simplify right side
    950.06x = 1,095,383.39
  5. Step 5: Solve for x
    x = 1,095,383.39/950.06
  6. Step 6: Final answer
    x = 1,152.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.