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Finding the Fourth Proportional to 1,645.63, 2,469.75 and 866.08

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Solution

The fourth proportional to 1,645.63, 2,469.75 and 866.08 is: 1,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.63 : 2,469.75 = 866.08 : x
  2. Step 2: Convert to fraction form
    1,645.63/2,469.75 = 866.08/x
  3. Step 3: Cross multiply
    1,645.63x = 2,469.75 × 866.08
  4. Step 4: Simplify right side
    1,645.63x = 2,139,001.08
  5. Step 5: Solve for x
    x = 2,139,001.08/1,645.63
  6. Step 6: Final answer
    x = 1,299.81

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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.