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Finding the Fourth Proportional to 682.98, 941.32 and 496.18

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Solution

The fourth proportional to 682.98, 941.32 and 496.18 is: 683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 941.32 = 496.18 : x
  2. Step 2: Convert to fraction form
    682.98/941.32 = 496.18/x
  3. Step 3: Cross multiply
    682.98x = 941.32 × 496.18
  4. Step 4: Simplify right side
    682.98x = 467,060.66
  5. Step 5: Solve for x
    x = 467,060.66/682.98
  6. Step 6: Final answer
    x = 683.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.