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Finding the Fourth Proportional to 645.86, 967.49 and 298.71

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Solution

The fourth proportional to 645.86, 967.49 and 298.71 is: 447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.86 : 967.49 = 298.71 : x
  2. Step 2: Convert to fraction form
    645.86/967.49 = 298.71/x
  3. Step 3: Cross multiply
    645.86x = 967.49 × 298.71
  4. Step 4: Simplify right side
    645.86x = 288,998.94
  5. Step 5: Solve for x
    x = 288,998.94/645.86
  6. Step 6: Final answer
    x = 447.46

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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.