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Finding the Fourth Proportional to 506.46, 758.67 and 369.79

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Solution

The fourth proportional to 506.46, 758.67 and 369.79 is: 553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.46 : 758.67 = 369.79 : x
  2. Step 2: Convert to fraction form
    506.46/758.67 = 369.79/x
  3. Step 3: Cross multiply
    506.46x = 758.67 × 369.79
  4. Step 4: Simplify right side
    506.46x = 280,548.58
  5. Step 5: Solve for x
    x = 280,548.58/506.46
  6. Step 6: Final answer
    x = 553.94

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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.