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Finding the Fourth Proportional to 967.20, 1,451.22 and 309.13

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Solution

The fourth proportional to 967.20, 1,451.22 and 309.13 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.20 : 1,451.22 = 309.13 : x
  2. Step 2: Convert to fraction form
    967.20/1,451.22 = 309.13/x
  3. Step 3: Cross multiply
    967.20x = 1,451.22 × 309.13
  4. Step 4: Simplify right side
    967.20x = 448,610.85
  5. Step 5: Solve for x
    x = 448,610.85/967.20
  6. Step 6: Final answer
    x = 463.83

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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.