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Finding the Fourth Proportional to 682.60, 942.50 and 475.88

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Solution

The fourth proportional to 682.60, 942.50 and 475.88 is: 657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 942.50 = 475.88 : x
  2. Step 2: Convert to fraction form
    682.60/942.50 = 475.88/x
  3. Step 3: Cross multiply
    682.60x = 942.50 × 475.88
  4. Step 4: Simplify right side
    682.60x = 448,516.90
  5. Step 5: Solve for x
    x = 448,516.90/682.60
  6. Step 6: Final answer
    x = 657.07

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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.