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Finding the Fourth Proportional to 1,645.16, 2,467.94 and 671.13

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Solution

The fourth proportional to 1,645.16, 2,467.94 and 671.13 is: 1,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.16 : 2,467.94 = 671.13 : x
  2. Step 2: Convert to fraction form
    1,645.16/2,467.94 = 671.13/x
  3. Step 3: Cross multiply
    1,645.16x = 2,467.94 × 671.13
  4. Step 4: Simplify right side
    1,645.16x = 1,656,305.22
  5. Step 5: Solve for x
    x = 1,656,305.22/1,645.16
  6. Step 6: Final answer
    x = 1,006.78

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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.