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Finding the Fourth Proportional to 1,645.34, 2,467.65 and 475.09

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Solution

The fourth proportional to 1,645.34, 2,467.65 and 475.09 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.34 : 2,467.65 = 475.09 : x
  2. Step 2: Convert to fraction form
    1,645.34/2,467.65 = 475.09/x
  3. Step 3: Cross multiply
    1,645.34x = 2,467.65 × 475.09
  4. Step 4: Simplify right side
    1,645.34x = 1,172,351.12
  5. Step 5: Solve for x
    x = 1,172,351.12/1,645.34
  6. Step 6: Final answer
    x = 712.53

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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.