Home / 1,027.89-1,541.82-258.39

Finding the Fourth Proportional to 1,027.89, 1,541.82 and 258.39

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Solution

The fourth proportional to 1,027.89, 1,541.82 and 258.39 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.89 : 1,541.82 = 258.39 : x
  2. Step 2: Convert to fraction form
    1,027.89/1,541.82 = 258.39/x
  3. Step 3: Cross multiply
    1,027.89x = 1,541.82 × 258.39
  4. Step 4: Simplify right side
    1,027.89x = 398,390.87
  5. Step 5: Solve for x
    x = 398,390.87/1,027.89
  6. Step 6: Final answer
    x = 387.58

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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.