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Finding the Fourth Proportional to 832.88, 1,247.32 and 543.44

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Solution

The fourth proportional to 832.88, 1,247.32 and 543.44 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,247.32 = 543.44 : x
  2. Step 2: Convert to fraction form
    832.88/1,247.32 = 543.44/x
  3. Step 3: Cross multiply
    832.88x = 1,247.32 × 543.44
  4. Step 4: Simplify right side
    832.88x = 677,843.58
  5. Step 5: Solve for x
    x = 677,843.58/832.88
  6. Step 6: Final answer
    x = 813.86

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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.