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Finding the Fourth Proportional to 1,057.92, 1,586.62 and 441.29

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Solution

The fourth proportional to 1,057.92, 1,586.62 and 441.29 is: 661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.92 : 1,586.62 = 441.29 : x
  2. Step 2: Convert to fraction form
    1,057.92/1,586.62 = 441.29/x
  3. Step 3: Cross multiply
    1,057.92x = 1,586.62 × 441.29
  4. Step 4: Simplify right side
    1,057.92x = 700,164.06
  5. Step 5: Solve for x
    x = 700,164.06/1,057.92
  6. Step 6: Final answer
    x = 661.83

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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.