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Finding the Fourth Proportional to 832.56, 1,247.04 and 447

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Solution

The fourth proportional to 832.56, 1,247.04 and 447 is: 669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.56 : 1,247.04 = 447 : x
  2. Step 2: Convert to fraction form
    832.56/1,247.04 = 447/x
  3. Step 3: Cross multiply
    832.56x = 1,247.04 × 447
  4. Step 4: Simplify right side
    832.56x = 557,426.88
  5. Step 5: Solve for x
    x = 557,426.88/832.56
  6. Step 6: Final answer
    x = 669.53

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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.