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Finding the Fourth Proportional to 60.56, 83.06 and 56.78

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Solution

The fourth proportional to 60.56, 83.06 and 56.78 is: 77.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.56 : 83.06 = 56.78 : x
  2. Step 2: Convert to fraction form
    60.56/83.06 = 56.78/x
  3. Step 3: Cross multiply
    60.56x = 83.06 × 56.78
  4. Step 4: Simplify right side
    60.56x = 4,716.15
  5. Step 5: Solve for x
    x = 4,716.15/60.56
  6. Step 6: Final answer
    x = 77.88

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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.