Home / 1,027.70-1,541.88-442.43

Finding the Fourth Proportional to 1,027.70, 1,541.88 and 442.43

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Solution

The fourth proportional to 1,027.70, 1,541.88 and 442.43 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.70 : 1,541.88 = 442.43 : x
  2. Step 2: Convert to fraction form
    1,027.70/1,541.88 = 442.43/x
  3. Step 3: Cross multiply
    1,027.70x = 1,541.88 × 442.43
  4. Step 4: Simplify right side
    1,027.70x = 682,166.26
  5. Step 5: Solve for x
    x = 682,166.26/1,027.70
  6. Step 6: Final answer
    x = 663.78

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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.