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Finding the Fourth Proportional to 2,503.69, 3,755.43 and 629.58

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Solution

The fourth proportional to 2,503.69, 3,755.43 and 629.58 is: 944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.69 : 3,755.43 = 629.58 : x
  2. Step 2: Convert to fraction form
    2,503.69/3,755.43 = 629.58/x
  3. Step 3: Cross multiply
    2,503.69x = 3,755.43 × 629.58
  4. Step 4: Simplify right side
    2,503.69x = 2,364,343.62
  5. Step 5: Solve for x
    x = 2,364,343.62/2,503.69
  6. Step 6: Final answer
    x = 944.34

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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.