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Finding the Fourth Proportional to 967.06, 1,450.43 and 447.02

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Solution

The fourth proportional to 967.06, 1,450.43 and 447.02 is: 670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.06 : 1,450.43 = 447.02 : x
  2. Step 2: Convert to fraction form
    967.06/1,450.43 = 447.02/x
  3. Step 3: Cross multiply
    967.06x = 1,450.43 × 447.02
  4. Step 4: Simplify right side
    967.06x = 648,368.98
  5. Step 5: Solve for x
    x = 648,368.98/967.06
  6. Step 6: Final answer
    x = 670.45

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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.