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Finding the Fourth Proportional to 676.62, 928.20 and 634.68

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Solution

The fourth proportional to 676.62, 928.20 and 634.68 is: 870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.62 : 928.20 = 634.68 : x
  2. Step 2: Convert to fraction form
    676.62/928.20 = 634.68/x
  3. Step 3: Cross multiply
    676.62x = 928.20 × 634.68
  4. Step 4: Simplify right side
    676.62x = 589,109.98
  5. Step 5: Solve for x
    x = 589,109.98/676.62
  6. Step 6: Final answer
    x = 870.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.