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Finding the Fourth Proportional to 682.60, 942.42 and 616.18

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Solution

The fourth proportional to 682.60, 942.42 and 616.18 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 942.42 = 616.18 : x
  2. Step 2: Convert to fraction form
    682.60/942.42 = 616.18/x
  3. Step 3: Cross multiply
    682.60x = 942.42 × 616.18
  4. Step 4: Simplify right side
    682.60x = 580,700.36
  5. Step 5: Solve for x
    x = 580,700.36/682.60
  6. Step 6: Final answer
    x = 850.72

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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.