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Finding the Fourth Proportional to 2,507.49, 3,761.60 and 776.25

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Solution

The fourth proportional to 2,507.49, 3,761.60 and 776.25 is: 1,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.49 : 3,761.60 = 776.25 : x
  2. Step 2: Convert to fraction form
    2,507.49/3,761.60 = 776.25/x
  3. Step 3: Cross multiply
    2,507.49x = 3,761.60 × 776.25
  4. Step 4: Simplify right side
    2,507.49x = 2,919,942
  5. Step 5: Solve for x
    x = 2,919,942/2,507.49
  6. Step 6: Final answer
    x = 1,164.49

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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.