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Finding the Fourth Proportional to 63.30, 86.84 and 57.84

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Solution

The fourth proportional to 63.30, 86.84 and 57.84 is: 79.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.30 : 86.84 = 57.84 : x
  2. Step 2: Convert to fraction form
    63.30/86.84 = 57.84/x
  3. Step 3: Cross multiply
    63.30x = 86.84 × 57.84
  4. Step 4: Simplify right side
    63.30x = 5,022.83
  5. Step 5: Solve for x
    x = 5,022.83/63.30
  6. Step 6: Final answer
    x = 79.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.