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Finding the Fourth Proportional to 645.33, 967.12 and 297.90

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Solution

The fourth proportional to 645.33, 967.12 and 297.90 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 967.12 = 297.90 : x
  2. Step 2: Convert to fraction form
    645.33/967.12 = 297.90/x
  3. Step 3: Cross multiply
    645.33x = 967.12 × 297.90
  4. Step 4: Simplify right side
    645.33x = 288,103.56
  5. Step 5: Solve for x
    x = 288,103.56/645.33
  6. Step 6: Final answer
    x = 446.44

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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.