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Finding the Fourth Proportional to 731.09, 1,093.91 and 423.09

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Solution

The fourth proportional to 731.09, 1,093.91 and 423.09 is: 633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,093.91 = 423.09 : x
  2. Step 2: Convert to fraction form
    731.09/1,093.91 = 423.09/x
  3. Step 3: Cross multiply
    731.09x = 1,093.91 × 423.09
  4. Step 4: Simplify right side
    731.09x = 462,820.27
  5. Step 5: Solve for x
    x = 462,820.27/731.09
  6. Step 6: Final answer
    x = 633.05

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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.