Home / 1,027.93-1,541.88-258.43

Finding the Fourth Proportional to 1,027.93, 1,541.88 and 258.43

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Solution

The fourth proportional to 1,027.93, 1,541.88 and 258.43 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.93 : 1,541.88 = 258.43 : x
  2. Step 2: Convert to fraction form
    1,027.93/1,541.88 = 258.43/x
  3. Step 3: Cross multiply
    1,027.93x = 1,541.88 × 258.43
  4. Step 4: Simplify right side
    1,027.93x = 398,468.05
  5. Step 5: Solve for x
    x = 398,468.05/1,027.93
  6. Step 6: Final answer
    x = 387.64

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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.