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Finding the Fourth Proportional to 523.72, 722.68 and 299.69

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Solution

The fourth proportional to 523.72, 722.68 and 299.69 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 722.68 = 299.69 : x
  2. Step 2: Convert to fraction form
    523.72/722.68 = 299.69/x
  3. Step 3: Cross multiply
    523.72x = 722.68 × 299.69
  4. Step 4: Simplify right side
    523.72x = 216,579.97
  5. Step 5: Solve for x
    x = 216,579.97/523.72
  6. Step 6: Final answer
    x = 413.54

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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.