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Finding the Fourth Proportional to 683.06, 941.84 and 635.36

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Solution

The fourth proportional to 683.06, 941.84 and 635.36 is: 876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.06 : 941.84 = 635.36 : x
  2. Step 2: Convert to fraction form
    683.06/941.84 = 635.36/x
  3. Step 3: Cross multiply
    683.06x = 941.84 × 635.36
  4. Step 4: Simplify right side
    683.06x = 598,407.46
  5. Step 5: Solve for x
    x = 598,407.46/683.06
  6. Step 6: Final answer
    x = 876.07

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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.