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Finding the Fourth Proportional to 683.06, 941.78 and 558.44

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Solution

The fourth proportional to 683.06, 941.78 and 558.44 is: 769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.06 : 941.78 = 558.44 : x
  2. Step 2: Convert to fraction form
    683.06/941.78 = 558.44/x
  3. Step 3: Cross multiply
    683.06x = 941.78 × 558.44
  4. Step 4: Simplify right side
    683.06x = 525,930.00
  5. Step 5: Solve for x
    x = 525,930.00/683.06
  6. Step 6: Final answer
    x = 769.96

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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.