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Finding the Fourth Proportional to 1,089.38, 1,635.39 and 908.96

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Solution

The fourth proportional to 1,089.38, 1,635.39 and 908.96 is: 1,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.38 : 1,635.39 = 908.96 : x
  2. Step 2: Convert to fraction form
    1,089.38/1,635.39 = 908.96/x
  3. Step 3: Cross multiply
    1,089.38x = 1,635.39 × 908.96
  4. Step 4: Simplify right side
    1,089.38x = 1,486,495.92
  5. Step 5: Solve for x
    x = 1,486,495.92/1,089.38
  6. Step 6: Final answer
    x = 1,364.53

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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.