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Finding the Fourth Proportional to 45.77, 68.65 and 42.73

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Solution

The fourth proportional to 45.77, 68.65 and 42.73 is: 64.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 68.65 = 42.73 : x
  2. Step 2: Convert to fraction form
    45.77/68.65 = 42.73/x
  3. Step 3: Cross multiply
    45.77x = 68.65 × 42.73
  4. Step 4: Simplify right side
    45.77x = 2,933.14
  5. Step 5: Solve for x
    x = 2,933.14/45.77
  6. Step 6: Final answer
    x = 64.09

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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.