Home / 1,027.64-1,541.44-258.14

Finding the Fourth Proportional to 1,027.64, 1,541.44 and 258.14

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Solution

The fourth proportional to 1,027.64, 1,541.44 and 258.14 is: 387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.64 : 1,541.44 = 258.14 : x
  2. Step 2: Convert to fraction form
    1,027.64/1,541.44 = 258.14/x
  3. Step 3: Cross multiply
    1,027.64x = 1,541.44 × 258.14
  4. Step 4: Simplify right side
    1,027.64x = 397,907.32
  5. Step 5: Solve for x
    x = 397,907.32/1,027.64
  6. Step 6: Final answer
    x = 387.20

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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.