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Finding the Fourth Proportional to 1,080.15, 1,612.38 and 1,004.19

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Solution

The fourth proportional to 1,080.15, 1,612.38 and 1,004.19 is: 1,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.15 : 1,612.38 = 1,004.19 : x
  2. Step 2: Convert to fraction form
    1,080.15/1,612.38 = 1,004.19/x
  3. Step 3: Cross multiply
    1,080.15x = 1,612.38 × 1,004.19
  4. Step 4: Simplify right side
    1,080.15x = 1,619,138.38
  5. Step 5: Solve for x
    x = 1,619,138.38/1,080.15
  6. Step 6: Final answer
    x = 1,498.99

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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.