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Finding the Fourth Proportional to 4.50, 6.77 and 4.01

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Solution

The fourth proportional to 4.50, 6.77 and 4.01 is: 6.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 6.77 = 4.01 : x
  2. Step 2: Convert to fraction form
    4.50/6.77 = 4.01/x
  3. Step 3: Cross multiply
    4.50x = 6.77 × 4.01
  4. Step 4: Simplify right side
    4.50x = 27.09
  5. Step 5: Solve for x
    x = 27.09/4.50
  6. Step 6: Final answer
    x = 6.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.