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Finding the Fourth Proportional to 1,057.81, 1,586.98 and 441.20

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Solution

The fourth proportional to 1,057.81, 1,586.98 and 441.20 is: 661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.81 : 1,586.98 = 441.20 : x
  2. Step 2: Convert to fraction form
    1,057.81/1,586.98 = 441.20/x
  3. Step 3: Cross multiply
    1,057.81x = 1,586.98 × 441.20
  4. Step 4: Simplify right side
    1,057.81x = 700,166.54
  5. Step 5: Solve for x
    x = 700,166.54/1,057.81
  6. Step 6: Final answer
    x = 661.90

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Double scale
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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.