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Finding the Fourth Proportional to 7.99, 10.96 and 7.70

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Solution

The fourth proportional to 7.99, 10.96 and 7.70 is: 10.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.99 : 10.96 = 7.70 : x
  2. Step 2: Convert to fraction form
    7.99/10.96 = 7.70/x
  3. Step 3: Cross multiply
    7.99x = 10.96 × 7.70
  4. Step 4: Simplify right side
    7.99x = 84.32
  5. Step 5: Solve for x
    x = 84.32/7.99
  6. Step 6: Final answer
    x = 10.56

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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.