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Finding the Fourth Proportional to 969.41, 1,454.08 and 311.27

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Solution

The fourth proportional to 969.41, 1,454.08 and 311.27 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.41 : 1,454.08 = 311.27 : x
  2. Step 2: Convert to fraction form
    969.41/1,454.08 = 311.27/x
  3. Step 3: Cross multiply
    969.41x = 1,454.08 × 311.27
  4. Step 4: Simplify right side
    969.41x = 452,611.48
  5. Step 5: Solve for x
    x = 452,611.48/969.41
  6. Step 6: Final answer
    x = 466.89

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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.