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Finding the Fourth Proportional to 645.82, 967.22 and 472.05

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Solution

The fourth proportional to 645.82, 967.22 and 472.05 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.82 : 967.22 = 472.05 : x
  2. Step 2: Convert to fraction form
    645.82/967.22 = 472.05/x
  3. Step 3: Cross multiply
    645.82x = 967.22 × 472.05
  4. Step 4: Simplify right side
    645.82x = 456,580.99
  5. Step 5: Solve for x
    x = 456,580.99/645.82
  6. Step 6: Final answer
    x = 706.98

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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.