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Finding the Fourth Proportional to 967.75, 1,450.41 and 578.04

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Solution

The fourth proportional to 967.75, 1,450.41 and 578.04 is: 866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.75 : 1,450.41 = 578.04 : x
  2. Step 2: Convert to fraction form
    967.75/1,450.41 = 578.04/x
  3. Step 3: Cross multiply
    967.75x = 1,450.41 × 578.04
  4. Step 4: Simplify right side
    967.75x = 838,387.39
  5. Step 5: Solve for x
    x = 838,387.39/967.75
  6. Step 6: Final answer
    x = 866.33

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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.