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Finding the Fourth Proportional to 523, 721.72 and 301.96

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Solution

The fourth proportional to 523, 721.72 and 301.96 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 721.72 = 301.96 : x
  2. Step 2: Convert to fraction form
    523/721.72 = 301.96/x
  3. Step 3: Cross multiply
    523x = 721.72 × 301.96
  4. Step 4: Simplify right side
    523x = 217,930.57
  5. Step 5: Solve for x
    x = 217,930.57/523
  6. Step 6: Final answer
    x = 416.69

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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.