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Finding the Fourth Proportional to 682.32, 1,016.69 and 649.26

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Solution

The fourth proportional to 682.32, 1,016.69 and 649.26 is: 967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 1,016.69 = 649.26 : x
  2. Step 2: Convert to fraction form
    682.32/1,016.69 = 649.26/x
  3. Step 3: Cross multiply
    682.32x = 1,016.69 × 649.26
  4. Step 4: Simplify right side
    682.32x = 660,096.15
  5. Step 5: Solve for x
    x = 660,096.15/682.32
  6. Step 6: Final answer
    x = 967.43

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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.