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Finding the Fourth Proportional to 1,753.36, 2,629.39 and 766.12

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Solution

The fourth proportional to 1,753.36, 2,629.39 and 766.12 is: 1,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.36 : 2,629.39 = 766.12 : x
  2. Step 2: Convert to fraction form
    1,753.36/2,629.39 = 766.12/x
  3. Step 3: Cross multiply
    1,753.36x = 2,629.39 × 766.12
  4. Step 4: Simplify right side
    1,753.36x = 2,014,419.78
  5. Step 5: Solve for x
    x = 2,014,419.78/1,753.36
  6. Step 6: Final answer
    x = 1,148.89

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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.