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Finding the Fourth Proportional to 967.20, 1,450.68 and 412.13

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Solution

The fourth proportional to 967.20, 1,450.68 and 412.13 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.20 : 1,450.68 = 412.13 : x
  2. Step 2: Convert to fraction form
    967.20/1,450.68 = 412.13/x
  3. Step 3: Cross multiply
    967.20x = 1,450.68 × 412.13
  4. Step 4: Simplify right side
    967.20x = 597,859.95
  5. Step 5: Solve for x
    x = 597,859.95/967.20
  6. Step 6: Final answer
    x = 618.14

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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.