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Finding the Fourth Proportional to 1,645.91, 2,468.79 and 550.19

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Solution

The fourth proportional to 1,645.91, 2,468.79 and 550.19 is: 825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.91 : 2,468.79 = 550.19 : x
  2. Step 2: Convert to fraction form
    1,645.91/2,468.79 = 550.19/x
  3. Step 3: Cross multiply
    1,645.91x = 2,468.79 × 550.19
  4. Step 4: Simplify right side
    1,645.91x = 1,358,291.23
  5. Step 5: Solve for x
    x = 1,358,291.23/1,645.91
  6. Step 6: Final answer
    x = 825.25

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1.5x scale

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.