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Finding the Fourth Proportional to 667.24, 995.90 and 650.84

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Solution

The fourth proportional to 667.24, 995.90 and 650.84 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.24 : 995.90 = 650.84 : x
  2. Step 2: Convert to fraction form
    667.24/995.90 = 650.84/x
  3. Step 3: Cross multiply
    667.24x = 995.90 × 650.84
  4. Step 4: Simplify right side
    667.24x = 648,163.32
  5. Step 5: Solve for x
    x = 648,163.32/667.24
  6. Step 6: Final answer
    x = 971.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.