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Finding the Fourth Proportional to 967.87, 1,450.53 and 447.80

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Solution

The fourth proportional to 967.87, 1,450.53 and 447.80 is: 671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.87 : 1,450.53 = 447.80 : x
  2. Step 2: Convert to fraction form
    967.87/1,450.53 = 447.80/x
  3. Step 3: Cross multiply
    967.87x = 1,450.53 × 447.80
  4. Step 4: Simplify right side
    967.87x = 649,547.33
  5. Step 5: Solve for x
    x = 649,547.33/967.87
  6. Step 6: Final answer
    x = 671.11

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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.