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Finding the Fourth Proportional to 1,057.31, 1,586.09 and 441.43

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Solution

The fourth proportional to 1,057.31, 1,586.09 and 441.43 is: 662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.31 : 1,586.09 = 441.43 : x
  2. Step 2: Convert to fraction form
    1,057.31/1,586.09 = 441.43/x
  3. Step 3: Cross multiply
    1,057.31x = 1,586.09 × 441.43
  4. Step 4: Simplify right side
    1,057.31x = 700,147.71
  5. Step 5: Solve for x
    x = 700,147.71/1,057.31
  6. Step 6: Final answer
    x = 662.20

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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.