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Finding the Fourth Proportional to 506.14, 758.75 and 369.85

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Solution

The fourth proportional to 506.14, 758.75 and 369.85 is: 554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.14 : 758.75 = 369.85 : x
  2. Step 2: Convert to fraction form
    506.14/758.75 = 369.85/x
  3. Step 3: Cross multiply
    506.14x = 758.75 × 369.85
  4. Step 4: Simplify right side
    506.14x = 280,623.69
  5. Step 5: Solve for x
    x = 280,623.69/506.14
  6. Step 6: Final answer
    x = 554.44

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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.