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Finding the Fourth Proportional to 1,115.26, 1,668.94 and 822.07

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Solution

The fourth proportional to 1,115.26, 1,668.94 and 822.07 is: 1,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.26 : 1,668.94 = 822.07 : x
  2. Step 2: Convert to fraction form
    1,115.26/1,668.94 = 822.07/x
  3. Step 3: Cross multiply
    1,115.26x = 1,668.94 × 822.07
  4. Step 4: Simplify right side
    1,115.26x = 1,371,979.28
  5. Step 5: Solve for x
    x = 1,371,979.28/1,115.26
  6. Step 6: Final answer
    x = 1,230.19

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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.