Home / 1,027.56-1,541.38-258.06

Finding the Fourth Proportional to 1,027.56, 1,541.38 and 258.06

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Solution

The fourth proportional to 1,027.56, 1,541.38 and 258.06 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,541.38 = 258.06 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,541.38 = 258.06/x
  3. Step 3: Cross multiply
    1,027.56x = 1,541.38 × 258.06
  4. Step 4: Simplify right side
    1,027.56x = 397,768.52
  5. Step 5: Solve for x
    x = 397,768.52/1,027.56
  6. Step 6: Final answer
    x = 387.10

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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.