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Finding the Fourth Proportional to 1,660.85, 2,491.43 and 428.27

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Solution

The fourth proportional to 1,660.85, 2,491.43 and 428.27 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.85 : 2,491.43 = 428.27 : x
  2. Step 2: Convert to fraction form
    1,660.85/2,491.43 = 428.27/x
  3. Step 3: Cross multiply
    1,660.85x = 2,491.43 × 428.27
  4. Step 4: Simplify right side
    1,660.85x = 1,066,990.13
  5. Step 5: Solve for x
    x = 1,066,990.13/1,660.85
  6. Step 6: Final answer
    x = 642.44

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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.