Home / 1,027.81-1,541.72-258.31

Finding the Fourth Proportional to 1,027.81, 1,541.72 and 258.31

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Solution

The fourth proportional to 1,027.81, 1,541.72 and 258.31 is: 387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.81 : 1,541.72 = 258.31 : x
  2. Step 2: Convert to fraction form
    1,027.81/1,541.72 = 258.31/x
  3. Step 3: Cross multiply
    1,027.81x = 1,541.72 × 258.31
  4. Step 4: Simplify right side
    1,027.81x = 398,241.69
  5. Step 5: Solve for x
    x = 398,241.69/1,027.81
  6. Step 6: Final answer
    x = 387.47

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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.