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Finding the Fourth Proportional to 59.06, 80.77 and 58.82

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Solution

The fourth proportional to 59.06, 80.77 and 58.82 is: 80.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 80.77 = 58.82 : x
  2. Step 2: Convert to fraction form
    59.06/80.77 = 58.82/x
  3. Step 3: Cross multiply
    59.06x = 80.77 × 58.82
  4. Step 4: Simplify right side
    59.06x = 4,750.89
  5. Step 5: Solve for x
    x = 4,750.89/59.06
  6. Step 6: Final answer
    x = 80.44

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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.