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Finding the Fourth Proportional to 1,645.29, 2,467.53 and 755.91

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Solution

The fourth proportional to 1,645.29, 2,467.53 and 755.91 is: 1,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.29 : 2,467.53 = 755.91 : x
  2. Step 2: Convert to fraction form
    1,645.29/2,467.53 = 755.91/x
  3. Step 3: Cross multiply
    1,645.29x = 2,467.53 × 755.91
  4. Step 4: Simplify right side
    1,645.29x = 1,865,230.60
  5. Step 5: Solve for x
    x = 1,865,230.60/1,645.29
  6. Step 6: Final answer
    x = 1,133.68

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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.