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Finding the Fourth Proportional to 979.46, 1,467.78 and 949.88

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Solution

The fourth proportional to 979.46, 1,467.78 and 949.88 is: 1,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.46 : 1,467.78 = 949.88 : x
  2. Step 2: Convert to fraction form
    979.46/1,467.78 = 949.88/x
  3. Step 3: Cross multiply
    979.46x = 1,467.78 × 949.88
  4. Step 4: Simplify right side
    979.46x = 1,394,214.87
  5. Step 5: Solve for x
    x = 1,394,214.87/979.46
  6. Step 6: Final answer
    x = 1,423.45

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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.