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Finding the Fourth Proportional to 645.06, 967.61 and 279.84

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Solution

The fourth proportional to 645.06, 967.61 and 279.84 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 967.61 = 279.84 : x
  2. Step 2: Convert to fraction form
    645.06/967.61 = 279.84/x
  3. Step 3: Cross multiply
    645.06x = 967.61 × 279.84
  4. Step 4: Simplify right side
    645.06x = 270,775.98
  5. Step 5: Solve for x
    x = 270,775.98/645.06
  6. Step 6: Final answer
    x = 419.77

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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.