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Finding the Fourth Proportional to 2,409.03, 3,613.55 and 677.66

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Solution

The fourth proportional to 2,409.03, 3,613.55 and 677.66 is: 1,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.03 : 3,613.55 = 677.66 : x
  2. Step 2: Convert to fraction form
    2,409.03/3,613.55 = 677.66/x
  3. Step 3: Cross multiply
    2,409.03x = 3,613.55 × 677.66
  4. Step 4: Simplify right side
    2,409.03x = 2,448,736.84
  5. Step 5: Solve for x
    x = 2,448,736.84/2,409.03
  6. Step 6: Final answer
    x = 1,016.48

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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.