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Finding the Fourth Proportional to 2,407, 3,610.44 and 763.64

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Solution

The fourth proportional to 2,407, 3,610.44 and 763.64 is: 1,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,610.44 = 763.64 : x
  2. Step 2: Convert to fraction form
    2,407/3,610.44 = 763.64/x
  3. Step 3: Cross multiply
    2,407x = 3,610.44 × 763.64
  4. Step 4: Simplify right side
    2,407x = 2,757,076.40
  5. Step 5: Solve for x
    x = 2,757,076.40/2,407
  6. Step 6: Final answer
    x = 1,145.44

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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.