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Finding the Fourth Proportional to 683.10, 942.10 and 486.27

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Solution

The fourth proportional to 683.10, 942.10 and 486.27 is: 670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 942.10 = 486.27 : x
  2. Step 2: Convert to fraction form
    683.10/942.10 = 486.27/x
  3. Step 3: Cross multiply
    683.10x = 942.10 × 486.27
  4. Step 4: Simplify right side
    683.10x = 458,113.75
  5. Step 5: Solve for x
    x = 458,113.75/683.10
  6. Step 6: Final answer
    x = 670.64

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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.