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Finding the Fourth Proportional to 645.90, 967.82 and 628.82

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Solution

The fourth proportional to 645.90, 967.82 and 628.82 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 967.82 = 628.82 : x
  2. Step 2: Convert to fraction form
    645.90/967.82 = 628.82/x
  3. Step 3: Cross multiply
    645.90x = 967.82 × 628.82
  4. Step 4: Simplify right side
    645.90x = 608,576.59
  5. Step 5: Solve for x
    x = 608,576.59/645.90
  6. Step 6: Final answer
    x = 942.21

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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.