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Finding the Fourth Proportional to 523.22, 786.84 and 503.78

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Solution

The fourth proportional to 523.22, 786.84 and 503.78 is: 757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.22 : 786.84 = 503.78 : x
  2. Step 2: Convert to fraction form
    523.22/786.84 = 503.78/x
  3. Step 3: Cross multiply
    523.22x = 786.84 × 503.78
  4. Step 4: Simplify right side
    523.22x = 396,394.26
  5. Step 5: Solve for x
    x = 396,394.26/523.22
  6. Step 6: Final answer
    x = 757.61

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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.