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Finding the Fourth Proportional to 967.70, 1,450.75 and 481.09

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Solution

The fourth proportional to 967.70, 1,450.75 and 481.09 is: 721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.70 : 1,450.75 = 481.09 : x
  2. Step 2: Convert to fraction form
    967.70/1,450.75 = 481.09/x
  3. Step 3: Cross multiply
    967.70x = 1,450.75 × 481.09
  4. Step 4: Simplify right side
    967.70x = 697,941.32
  5. Step 5: Solve for x
    x = 697,941.32/967.70
  6. Step 6: Final answer
    x = 721.24

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1.5x scale

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.