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Finding the Fourth Proportional to 76.64, 114.68 and 49.79

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Solution

The fourth proportional to 76.64, 114.68 and 49.79 is: 74.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 114.68 = 49.79 : x
  2. Step 2: Convert to fraction form
    76.64/114.68 = 49.79/x
  3. Step 3: Cross multiply
    76.64x = 114.68 × 49.79
  4. Step 4: Simplify right side
    76.64x = 5,710.33
  5. Step 5: Solve for x
    x = 5,710.33/76.64
  6. Step 6: Final answer
    x = 74.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.