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Finding the Fourth Proportional to 1,084.34, 1,617.37 and 908.97

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Solution

The fourth proportional to 1,084.34, 1,617.37 and 908.97 is: 1,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.34 : 1,617.37 = 908.97 : x
  2. Step 2: Convert to fraction form
    1,084.34/1,617.37 = 908.97/x
  3. Step 3: Cross multiply
    1,084.34x = 1,617.37 × 908.97
  4. Step 4: Simplify right side
    1,084.34x = 1,470,136.26
  5. Step 5: Solve for x
    x = 1,470,136.26/1,084.34
  6. Step 6: Final answer
    x = 1,355.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.