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Finding the Fourth Proportional to 63.82, 87.93 and 56.83

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Solution

The fourth proportional to 63.82, 87.93 and 56.83 is: 78.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 87.93 = 56.83 : x
  2. Step 2: Convert to fraction form
    63.82/87.93 = 56.83/x
  3. Step 3: Cross multiply
    63.82x = 87.93 × 56.83
  4. Step 4: Simplify right side
    63.82x = 4,997.42
  5. Step 5: Solve for x
    x = 4,997.42/63.82
  6. Step 6: Final answer
    x = 78.31

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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.