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Finding the Fourth Proportional to 832.68, 1,247.90 and 394.04

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Solution

The fourth proportional to 832.68, 1,247.90 and 394.04 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.68 : 1,247.90 = 394.04 : x
  2. Step 2: Convert to fraction form
    832.68/1,247.90 = 394.04/x
  3. Step 3: Cross multiply
    832.68x = 1,247.90 × 394.04
  4. Step 4: Simplify right side
    832.68x = 491,720.55
  5. Step 5: Solve for x
    x = 491,720.55/832.68
  6. Step 6: Final answer
    x = 590.53

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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.