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Finding the Fourth Proportional to 832.20, 1,245.96 and 627.72

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Solution

The fourth proportional to 832.20, 1,245.96 and 627.72 is: 939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.20 : 1,245.96 = 627.72 : x
  2. Step 2: Convert to fraction form
    832.20/1,245.96 = 627.72/x
  3. Step 3: Cross multiply
    832.20x = 1,245.96 × 627.72
  4. Step 4: Simplify right side
    832.20x = 782,114.01
  5. Step 5: Solve for x
    x = 782,114.01/832.20
  6. Step 6: Final answer
    x = 939.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.