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Finding the Fourth Proportional to 1,212.19, 1,817.39 and 865.32

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Solution

The fourth proportional to 1,212.19, 1,817.39 and 865.32 is: 1,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.19 : 1,817.39 = 865.32 : x
  2. Step 2: Convert to fraction form
    1,212.19/1,817.39 = 865.32/x
  3. Step 3: Cross multiply
    1,212.19x = 1,817.39 × 865.32
  4. Step 4: Simplify right side
    1,212.19x = 1,572,610.50
  5. Step 5: Solve for x
    x = 1,572,610.50/1,212.19
  6. Step 6: Final answer
    x = 1,297.33

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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.