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Finding the Fourth Proportional to 803.81, 1,107.64 and 523.73

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Solution

The fourth proportional to 803.81, 1,107.64 and 523.73 is: 721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.81 : 1,107.64 = 523.73 : x
  2. Step 2: Convert to fraction form
    803.81/1,107.64 = 523.73/x
  3. Step 3: Cross multiply
    803.81x = 1,107.64 × 523.73
  4. Step 4: Simplify right side
    803.81x = 580,104.30
  5. Step 5: Solve for x
    x = 580,104.30/803.81
  6. Step 6: Final answer
    x = 721.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.