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Finding the Fourth Proportional to 1,218.05, 1,824.75 and 805.97

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Solution

The fourth proportional to 1,218.05, 1,824.75 and 805.97 is: 1,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.05 : 1,824.75 = 805.97 : x
  2. Step 2: Convert to fraction form
    1,218.05/1,824.75 = 805.97/x
  3. Step 3: Cross multiply
    1,218.05x = 1,824.75 × 805.97
  4. Step 4: Simplify right side
    1,218.05x = 1,470,693.76
  5. Step 5: Solve for x
    x = 1,470,693.76/1,218.05
  6. Step 6: Final answer
    x = 1,207.42

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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.