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Finding the Fourth Proportional to 967.78, 1,450.65 and 480.56

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Solution

The fourth proportional to 967.78, 1,450.65 and 480.56 is: 720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,450.65 = 480.56 : x
  2. Step 2: Convert to fraction form
    967.78/1,450.65 = 480.56/x
  3. Step 3: Cross multiply
    967.78x = 1,450.65 × 480.56
  4. Step 4: Simplify right side
    967.78x = 697,124.36
  5. Step 5: Solve for x
    x = 697,124.36/967.78
  6. Step 6: Final answer
    x = 720.33

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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.