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Finding the Fourth Proportional to 1,118.81, 1,680.46 and 680.49

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Solution

The fourth proportional to 1,118.81, 1,680.46 and 680.49 is: 1,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.81 : 1,680.46 = 680.49 : x
  2. Step 2: Convert to fraction form
    1,118.81/1,680.46 = 680.49/x
  3. Step 3: Cross multiply
    1,118.81x = 1,680.46 × 680.49
  4. Step 4: Simplify right side
    1,118.81x = 1,143,534.52
  5. Step 5: Solve for x
    x = 1,143,534.52/1,118.81
  6. Step 6: Final answer
    x = 1,022.10

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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.