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Finding the Fourth Proportional to 967.62, 1,450.99 and 309.37

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Solution

The fourth proportional to 967.62, 1,450.99 and 309.37 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.62 : 1,450.99 = 309.37 : x
  2. Step 2: Convert to fraction form
    967.62/1,450.99 = 309.37/x
  3. Step 3: Cross multiply
    967.62x = 1,450.99 × 309.37
  4. Step 4: Simplify right side
    967.62x = 448,892.78
  5. Step 5: Solve for x
    x = 448,892.78/967.62
  6. Step 6: Final answer
    x = 463.91

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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.