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Finding the Fourth Proportional to 4.78, 6.59 and 2.83

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Solution

The fourth proportional to 4.78, 6.59 and 2.83 is: 3.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.78 : 6.59 = 2.83 : x
  2. Step 2: Convert to fraction form
    4.78/6.59 = 2.83/x
  3. Step 3: Cross multiply
    4.78x = 6.59 × 2.83
  4. Step 4: Simplify right side
    4.78x = 18.68
  5. Step 5: Solve for x
    x = 18.68/4.78
  6. Step 6: Final answer
    x = 3.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.