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Finding the Fourth Proportional to 2,406.55, 3,609.92 and 763.06

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Solution

The fourth proportional to 2,406.55, 3,609.92 and 763.06 is: 1,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.55 : 3,609.92 = 763.06 : x
  2. Step 2: Convert to fraction form
    2,406.55/3,609.92 = 763.06/x
  3. Step 3: Cross multiply
    2,406.55x = 3,609.92 × 763.06
  4. Step 4: Simplify right side
    2,406.55x = 2,754,578.44
  5. Step 5: Solve for x
    x = 2,754,578.44/2,406.55
  6. Step 6: Final answer
    x = 1,144.62

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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.