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Finding the Fourth Proportional to 1,753.78, 2,629.90 and 657.37

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Solution

The fourth proportional to 1,753.78, 2,629.90 and 657.37 is: 985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.78 : 2,629.90 = 657.37 : x
  2. Step 2: Convert to fraction form
    1,753.78/2,629.90 = 657.37/x
  3. Step 3: Cross multiply
    1,753.78x = 2,629.90 × 657.37
  4. Step 4: Simplify right side
    1,753.78x = 1,728,817.36
  5. Step 5: Solve for x
    x = 1,728,817.36/1,753.78
  6. Step 6: Final answer
    x = 985.77

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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.