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Finding the Fourth Proportional to 1,096.85, 1,645.38 and 316.84

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Solution

The fourth proportional to 1,096.85, 1,645.38 and 316.84 is: 475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.85 : 1,645.38 = 316.84 : x
  2. Step 2: Convert to fraction form
    1,096.85/1,645.38 = 316.84/x
  3. Step 3: Cross multiply
    1,096.85x = 1,645.38 × 316.84
  4. Step 4: Simplify right side
    1,096.85x = 521,320.62
  5. Step 5: Solve for x
    x = 521,320.62/1,096.85
  6. Step 6: Final answer
    x = 475.29

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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.