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Finding the Fourth Proportional to 1,645.82, 2,468.61 and 550.13

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Solution

The fourth proportional to 1,645.82, 2,468.61 and 550.13 is: 825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.82 : 2,468.61 = 550.13 : x
  2. Step 2: Convert to fraction form
    1,645.82/2,468.61 = 550.13/x
  3. Step 3: Cross multiply
    1,645.82x = 2,468.61 × 550.13
  4. Step 4: Simplify right side
    1,645.82x = 1,358,044.08
  5. Step 5: Solve for x
    x = 1,358,044.08/1,645.82
  6. Step 6: Final answer
    x = 825.15

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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.