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Finding the Fourth Proportional to 650.46, 969.33 and 649.38

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Solution

The fourth proportional to 650.46, 969.33 and 649.38 is: 967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.46 : 969.33 = 649.38 : x
  2. Step 2: Convert to fraction form
    650.46/969.33 = 649.38/x
  3. Step 3: Cross multiply
    650.46x = 969.33 × 649.38
  4. Step 4: Simplify right side
    650.46x = 629,463.52
  5. Step 5: Solve for x
    x = 629,463.52/650.46
  6. Step 6: Final answer
    x = 967.72

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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.