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Finding the Fourth Proportional to 1,097.22, 1,514.97 and 786.18

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Solution

The fourth proportional to 1,097.22, 1,514.97 and 786.18 is: 1,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.22 : 1,514.97 = 786.18 : x
  2. Step 2: Convert to fraction form
    1,097.22/1,514.97 = 786.18/x
  3. Step 3: Cross multiply
    1,097.22x = 1,514.97 × 786.18
  4. Step 4: Simplify right side
    1,097.22x = 1,191,039.11
  5. Step 5: Solve for x
    x = 1,191,039.11/1,097.22
  6. Step 6: Final answer
    x = 1,085.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.