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Finding the Fourth Proportional to 969.57, 1,454.43 and 311.46

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Solution

The fourth proportional to 969.57, 1,454.43 and 311.46 is: 467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.57 : 1,454.43 = 311.46 : x
  2. Step 2: Convert to fraction form
    969.57/1,454.43 = 311.46/x
  3. Step 3: Cross multiply
    969.57x = 1,454.43 × 311.46
  4. Step 4: Simplify right side
    969.57x = 452,996.77
  5. Step 5: Solve for x
    x = 452,996.77/969.57
  6. Step 6: Final answer
    x = 467.21

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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.