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Finding the Fourth Proportional to 1,230.66, 1,853.69 and 1,068.12

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Solution

The fourth proportional to 1,230.66, 1,853.69 and 1,068.12 is: 1,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.66 : 1,853.69 = 1,068.12 : x
  2. Step 2: Convert to fraction form
    1,230.66/1,853.69 = 1,068.12/x
  3. Step 3: Cross multiply
    1,230.66x = 1,853.69 × 1,068.12
  4. Step 4: Simplify right side
    1,230.66x = 1,979,958.02
  5. Step 5: Solve for x
    x = 1,979,958.02/1,230.66
  6. Step 6: Final answer
    x = 1,608.86

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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.