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Finding the Fourth Proportional to 76.83, 114.55 and 74.87

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Solution

The fourth proportional to 76.83, 114.55 and 74.87 is: 111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 114.55 = 74.87 : x
  2. Step 2: Convert to fraction form
    76.83/114.55 = 74.87/x
  3. Step 3: Cross multiply
    76.83x = 114.55 × 74.87
  4. Step 4: Simplify right side
    76.83x = 8,575.98
  5. Step 5: Solve for x
    x = 8,575.98/76.83
  6. Step 6: Final answer
    x = 111.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.