Home / 1,257.14-1,731.61-1,057.73

Finding the Fourth Proportional to 1,257.14, 1,731.61 and 1,057.73

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Solution

The fourth proportional to 1,257.14, 1,731.61 and 1,057.73 is: 1,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.14 : 1,731.61 = 1,057.73 : x
  2. Step 2: Convert to fraction form
    1,257.14/1,731.61 = 1,057.73/x
  3. Step 3: Cross multiply
    1,257.14x = 1,731.61 × 1,057.73
  4. Step 4: Simplify right side
    1,257.14x = 1,831,567.19
  5. Step 5: Solve for x
    x = 1,831,567.19/1,257.14
  6. Step 6: Final answer
    x = 1,456.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.