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Finding the Fourth Proportional to 682.45, 942.23 and 449.71

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Solution

The fourth proportional to 682.45, 942.23 and 449.71 is: 620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 942.23 = 449.71 : x
  2. Step 2: Convert to fraction form
    682.45/942.23 = 449.71/x
  3. Step 3: Cross multiply
    682.45x = 942.23 × 449.71
  4. Step 4: Simplify right side
    682.45x = 423,729.02
  5. Step 5: Solve for x
    x = 423,729.02/682.45
  6. Step 6: Final answer
    x = 620.90

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1.5x scale

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.