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Finding the Fourth Proportional to 676, 1,012.69 and 444.19

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Solution

The fourth proportional to 676, 1,012.69 and 444.19 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 1,012.69 = 444.19 : x
  2. Step 2: Convert to fraction form
    676/1,012.69 = 444.19/x
  3. Step 3: Cross multiply
    676x = 1,012.69 × 444.19
  4. Step 4: Simplify right side
    676x = 449,821.71
  5. Step 5: Solve for x
    x = 449,821.71/676
  6. Step 6: Final answer
    x = 665.42

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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.