Home / 1,613.25-2,419.97-459.09

Finding the Fourth Proportional to 1,613.25, 2,419.97 and 459.09

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Solution

The fourth proportional to 1,613.25, 2,419.97 and 459.09 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.25 : 2,419.97 = 459.09 : x
  2. Step 2: Convert to fraction form
    1,613.25/2,419.97 = 459.09/x
  3. Step 3: Cross multiply
    1,613.25x = 2,419.97 × 459.09
  4. Step 4: Simplify right side
    1,613.25x = 1,110,981.73
  5. Step 5: Solve for x
    x = 1,110,981.73/1,613.25
  6. Step 6: Final answer
    x = 688.66

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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.