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Finding the Fourth Proportional to 1,096.35, 1,644.60 and 345.79

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Solution

The fourth proportional to 1,096.35, 1,644.60 and 345.79 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.35 : 1,644.60 = 345.79 : x
  2. Step 2: Convert to fraction form
    1,096.35/1,644.60 = 345.79/x
  3. Step 3: Cross multiply
    1,096.35x = 1,644.60 × 345.79
  4. Step 4: Simplify right side
    1,096.35x = 568,686.23
  5. Step 5: Solve for x
    x = 568,686.23/1,096.35
  6. Step 6: Final answer
    x = 518.71

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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.