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Finding the Fourth Proportional to 1,080.28, 1,486.38 and 1,055.71

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Solution

The fourth proportional to 1,080.28, 1,486.38 and 1,055.71 is: 1,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.28 : 1,486.38 = 1,055.71 : x
  2. Step 2: Convert to fraction form
    1,080.28/1,486.38 = 1,055.71/x
  3. Step 3: Cross multiply
    1,080.28x = 1,486.38 × 1,055.71
  4. Step 4: Simplify right side
    1,080.28x = 1,569,186.23
  5. Step 5: Solve for x
    x = 1,569,186.23/1,080.28
  6. Step 6: Final answer
    x = 1,452.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.