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Finding the Fourth Proportional to 72.54, 100 and 63.83

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Solution

The fourth proportional to 72.54, 100 and 63.83 is: 87.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.54 : 100 = 63.83 : x
  2. Step 2: Convert to fraction form
    72.54/100 = 63.83/x
  3. Step 3: Cross multiply
    72.54x = 100 × 63.83
  4. Step 4: Simplify right side
    72.54x = 6,383
  5. Step 5: Solve for x
    x = 6,383/72.54
  6. Step 6: Final answer
    x = 87.99

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1.5x scale

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.