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Finding the Fourth Proportional to 1,116.42, 1,674.39 and 699.75

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Solution

The fourth proportional to 1,116.42, 1,674.39 and 699.75 is: 1,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.42 : 1,674.39 = 699.75 : x
  2. Step 2: Convert to fraction form
    1,116.42/1,674.39 = 699.75/x
  3. Step 3: Cross multiply
    1,116.42x = 1,674.39 × 699.75
  4. Step 4: Simplify right side
    1,116.42x = 1,171,654.40
  5. Step 5: Solve for x
    x = 1,171,654.40/1,116.42
  6. Step 6: Final answer
    x = 1,049.47

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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.