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Finding the Fourth Proportional to 832.53, 1,250.20 and 799.42

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Solution

The fourth proportional to 832.53, 1,250.20 and 799.42 is: 1,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.53 : 1,250.20 = 799.42 : x
  2. Step 2: Convert to fraction form
    832.53/1,250.20 = 799.42/x
  3. Step 3: Cross multiply
    832.53x = 1,250.20 × 799.42
  4. Step 4: Simplify right side
    832.53x = 999,434.88
  5. Step 5: Solve for x
    x = 999,434.88/832.53
  6. Step 6: Final answer
    x = 1,200.48

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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.