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Finding the Fourth Proportional to 893.10, 1,337.25 and 727.89

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Solution

The fourth proportional to 893.10, 1,337.25 and 727.89 is: 1,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.10 : 1,337.25 = 727.89 : x
  2. Step 2: Convert to fraction form
    893.10/1,337.25 = 727.89/x
  3. Step 3: Cross multiply
    893.10x = 1,337.25 × 727.89
  4. Step 4: Simplify right side
    893.10x = 973,375.92
  5. Step 5: Solve for x
    x = 973,375.92/893.10
  6. Step 6: Final answer
    x = 1,089.88

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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.