Home / 643.23-964.76-181.04

Finding the Fourth Proportional to 643.23, 964.76 and 181.04

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Solution

The fourth proportional to 643.23, 964.76 and 181.04 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 964.76 = 181.04 : x
  2. Step 2: Convert to fraction form
    643.23/964.76 = 181.04/x
  3. Step 3: Cross multiply
    643.23x = 964.76 × 181.04
  4. Step 4: Simplify right side
    643.23x = 174,660.15
  5. Step 5: Solve for x
    x = 174,660.15/643.23
  6. Step 6: Final answer
    x = 271.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.