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Finding the Fourth Proportional to 2,407.09, 3,609.69 and 763.60

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Solution

The fourth proportional to 2,407.09, 3,609.69 and 763.60 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.09 : 3,609.69 = 763.60 : x
  2. Step 2: Convert to fraction form
    2,407.09/3,609.69 = 763.60/x
  3. Step 3: Cross multiply
    2,407.09x = 3,609.69 × 763.60
  4. Step 4: Simplify right side
    2,407.09x = 2,756,359.28
  5. Step 5: Solve for x
    x = 2,756,359.28/2,407.09
  6. Step 6: Final answer
    x = 1,145.10

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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.