Home / 1,027.69-1,541.57-258.19

Finding the Fourth Proportional to 1,027.69, 1,541.57 and 258.19

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Solution

The fourth proportional to 1,027.69, 1,541.57 and 258.19 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.69 : 1,541.57 = 258.19 : x
  2. Step 2: Convert to fraction form
    1,027.69/1,541.57 = 258.19/x
  3. Step 3: Cross multiply
    1,027.69x = 1,541.57 × 258.19
  4. Step 4: Simplify right side
    1,027.69x = 398,012.81
  5. Step 5: Solve for x
    x = 398,012.81/1,027.69
  6. Step 6: Final answer
    x = 387.29

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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.