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Finding the Fourth Proportional to 676.80, 1,016.36 and 418.32

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Solution

The fourth proportional to 676.80, 1,016.36 and 418.32 is: 628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 1,016.36 = 418.32 : x
  2. Step 2: Convert to fraction form
    676.80/1,016.36 = 418.32/x
  3. Step 3: Cross multiply
    676.80x = 1,016.36 × 418.32
  4. Step 4: Simplify right side
    676.80x = 425,161.62
  5. Step 5: Solve for x
    x = 425,161.62/676.80
  6. Step 6: Final answer
    x = 628.19

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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.