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Finding the Fourth Proportional to 65.01, 89.67 and 54.78

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Solution

The fourth proportional to 65.01, 89.67 and 54.78 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.01 : 89.67 = 54.78 : x
  2. Step 2: Convert to fraction form
    65.01/89.67 = 54.78/x
  3. Step 3: Cross multiply
    65.01x = 89.67 × 54.78
  4. Step 4: Simplify right side
    65.01x = 4,912.12
  5. Step 5: Solve for x
    x = 4,912.12/65.01
  6. Step 6: Final answer
    x = 75.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.