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Finding the Fourth Proportional to 1,645.94, 2,468.84 and 672.06

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Solution

The fourth proportional to 1,645.94, 2,468.84 and 672.06 is: 1,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.94 : 2,468.84 = 672.06 : x
  2. Step 2: Convert to fraction form
    1,645.94/2,468.84 = 672.06/x
  3. Step 3: Cross multiply
    1,645.94x = 2,468.84 × 672.06
  4. Step 4: Simplify right side
    1,645.94x = 1,659,208.61
  5. Step 5: Solve for x
    x = 1,659,208.61/1,645.94
  6. Step 6: Final answer
    x = 1,008.06

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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.