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Finding the Fourth Proportional to 650.14, 968.96 and 649.14

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Solution

The fourth proportional to 650.14, 968.96 and 649.14 is: 967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.14 : 968.96 = 649.14 : x
  2. Step 2: Convert to fraction form
    650.14/968.96 = 649.14/x
  3. Step 3: Cross multiply
    650.14x = 968.96 × 649.14
  4. Step 4: Simplify right side
    650.14x = 628,990.69
  5. Step 5: Solve for x
    x = 628,990.69/650.14
  6. Step 6: Final answer
    x = 967.47

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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.