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Finding the Fourth Proportional to 1,080.39, 1,618.71 and 908.19

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Solution

The fourth proportional to 1,080.39, 1,618.71 and 908.19 is: 1,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.39 : 1,618.71 = 908.19 : x
  2. Step 2: Convert to fraction form
    1,080.39/1,618.71 = 908.19/x
  3. Step 3: Cross multiply
    1,080.39x = 1,618.71 × 908.19
  4. Step 4: Simplify right side
    1,080.39x = 1,470,096.23
  5. Step 5: Solve for x
    x = 1,470,096.23/1,080.39
  6. Step 6: Final answer
    x = 1,360.71

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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.