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Finding the Fourth Proportional to 6.45, 8.82 and 6.42

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Solution

The fourth proportional to 6.45, 8.82 and 6.42 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.45 : 8.82 = 6.42 : x
  2. Step 2: Convert to fraction form
    6.45/8.82 = 6.42/x
  3. Step 3: Cross multiply
    6.45x = 8.82 × 6.42
  4. Step 4: Simplify right side
    6.45x = 56.62
  5. Step 5: Solve for x
    x = 56.62/6.45
  6. Step 6: Final answer
    x = 8.78

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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.