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Finding the Fourth Proportional to 1,167.66, 1,760.18 and 1,080.18

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Solution

The fourth proportional to 1,167.66, 1,760.18 and 1,080.18 is: 1,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.66 : 1,760.18 = 1,080.18 : x
  2. Step 2: Convert to fraction form
    1,167.66/1,760.18 = 1,080.18/x
  3. Step 3: Cross multiply
    1,167.66x = 1,760.18 × 1,080.18
  4. Step 4: Simplify right side
    1,167.66x = 1,901,305.83
  5. Step 5: Solve for x
    x = 1,901,305.83/1,167.66
  6. Step 6: Final answer
    x = 1,628.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.