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Finding the Fourth Proportional to 1,093.48, 1,629.86 and 1,084.99

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Solution

The fourth proportional to 1,093.48, 1,629.86 and 1,084.99 is: 1,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.48 : 1,629.86 = 1,084.99 : x
  2. Step 2: Convert to fraction form
    1,093.48/1,629.86 = 1,084.99/x
  3. Step 3: Cross multiply
    1,093.48x = 1,629.86 × 1,084.99
  4. Step 4: Simplify right side
    1,093.48x = 1,768,381.80
  5. Step 5: Solve for x
    x = 1,768,381.80/1,093.48
  6. Step 6: Final answer
    x = 1,617.21

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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.