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Finding the Fourth Proportional to 980.35, 1,460.97 and 950.68

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Solution

The fourth proportional to 980.35, 1,460.97 and 950.68 is: 1,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.35 : 1,460.97 = 950.68 : x
  2. Step 2: Convert to fraction form
    980.35/1,460.97 = 950.68/x
  3. Step 3: Cross multiply
    980.35x = 1,460.97 × 950.68
  4. Step 4: Simplify right side
    980.35x = 1,388,914.96
  5. Step 5: Solve for x
    x = 1,388,914.96/980.35
  6. Step 6: Final answer
    x = 1,416.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.