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Finding the Fourth Proportional to 63.90, 95.45 and 57.83

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Solution

The fourth proportional to 63.90, 95.45 and 57.83 is: 86.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.90 : 95.45 = 57.83 : x
  2. Step 2: Convert to fraction form
    63.90/95.45 = 57.83/x
  3. Step 3: Cross multiply
    63.90x = 95.45 × 57.83
  4. Step 4: Simplify right side
    63.90x = 5,519.11
  5. Step 5: Solve for x
    x = 5,519.11/63.90
  6. Step 6: Final answer
    x = 86.37

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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.