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Finding the Fourth Proportional to 523.27, 779.72 and 465.85

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Solution

The fourth proportional to 523.27, 779.72 and 465.85 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.27 : 779.72 = 465.85 : x
  2. Step 2: Convert to fraction form
    523.27/779.72 = 465.85/x
  3. Step 3: Cross multiply
    523.27x = 779.72 × 465.85
  4. Step 4: Simplify right side
    523.27x = 363,232.56
  5. Step 5: Solve for x
    x = 363,232.56/523.27
  6. Step 6: Final answer
    x = 694.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.