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Finding the Fourth Proportional to 1,144.36, 1,582.14 and 866.05

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Solution

The fourth proportional to 1,144.36, 1,582.14 and 866.05 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.36 : 1,582.14 = 866.05 : x
  2. Step 2: Convert to fraction form
    1,144.36/1,582.14 = 866.05/x
  3. Step 3: Cross multiply
    1,144.36x = 1,582.14 × 866.05
  4. Step 4: Simplify right side
    1,144.36x = 1,370,212.35
  5. Step 5: Solve for x
    x = 1,370,212.35/1,144.36
  6. Step 6: Final answer
    x = 1,197.36

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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.