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Finding the Fourth Proportional to 6.74, 9.25 and 6.53

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Solution

The fourth proportional to 6.74, 9.25 and 6.53 is: 8.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.74 : 9.25 = 6.53 : x
  2. Step 2: Convert to fraction form
    6.74/9.25 = 6.53/x
  3. Step 3: Cross multiply
    6.74x = 9.25 × 6.53
  4. Step 4: Simplify right side
    6.74x = 60.34
  5. Step 5: Solve for x
    x = 60.34/6.74
  6. Step 6: Final answer
    x = 8.95

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Find fourth proportional to 3.37, 4.62 and 3.26
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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.