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Finding the Fourth Proportional to 805.64, 1,104.04 and 727.88

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Solution

The fourth proportional to 805.64, 1,104.04 and 727.88 is: 997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.64 : 1,104.04 = 727.88 : x
  2. Step 2: Convert to fraction form
    805.64/1,104.04 = 727.88/x
  3. Step 3: Cross multiply
    805.64x = 1,104.04 × 727.88
  4. Step 4: Simplify right side
    805.64x = 803,608.64
  5. Step 5: Solve for x
    x = 803,608.64/805.64
  6. Step 6: Final answer
    x = 997.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.