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Finding the Fourth Proportional to 7.70, 11.49 and 7.66

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Solution

The fourth proportional to 7.70, 11.49 and 7.66 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 11.49 = 7.66 : x
  2. Step 2: Convert to fraction form
    7.70/11.49 = 7.66/x
  3. Step 3: Cross multiply
    7.70x = 11.49 × 7.66
  4. Step 4: Simplify right side
    7.70x = 88.01
  5. Step 5: Solve for x
    x = 88.01/7.70
  6. Step 6: Final answer
    x = 11.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.