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Finding the Fourth Proportional to 676.76, 927.82 and 658.40

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Solution

The fourth proportional to 676.76, 927.82 and 658.40 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 927.82 = 658.40 : x
  2. Step 2: Convert to fraction form
    676.76/927.82 = 658.40/x
  3. Step 3: Cross multiply
    676.76x = 927.82 × 658.40
  4. Step 4: Simplify right side
    676.76x = 610,872.87
  5. Step 5: Solve for x
    x = 610,872.87/676.76
  6. Step 6: Final answer
    x = 902.65

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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.