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Finding the Fourth Proportional to 1,390.83, 2,083.20 and 1,080.26

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Solution

The fourth proportional to 1,390.83, 2,083.20 and 1,080.26 is: 1,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.83 : 2,083.20 = 1,080.26 : x
  2. Step 2: Convert to fraction form
    1,390.83/2,083.20 = 1,080.26/x
  3. Step 3: Cross multiply
    1,390.83x = 2,083.20 × 1,080.26
  4. Step 4: Simplify right side
    1,390.83x = 2,250,397.63
  5. Step 5: Solve for x
    x = 2,250,397.63/1,390.83
  6. Step 6: Final answer
    x = 1,618.02

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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.