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Finding the Fourth Proportional to 59.05, 80.98 and 56.80

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Solution

The fourth proportional to 59.05, 80.98 and 56.80 is: 77.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.05 : 80.98 = 56.80 : x
  2. Step 2: Convert to fraction form
    59.05/80.98 = 56.80/x
  3. Step 3: Cross multiply
    59.05x = 80.98 × 56.80
  4. Step 4: Simplify right side
    59.05x = 4,599.66
  5. Step 5: Solve for x
    x = 4,599.66/59.05
  6. Step 6: Final answer
    x = 77.89

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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.