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Finding the Fourth Proportional to 506.70, 758.70 and 323.10

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Solution

The fourth proportional to 506.70, 758.70 and 323.10 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 758.70 = 323.10 : x
  2. Step 2: Convert to fraction form
    506.70/758.70 = 323.10/x
  3. Step 3: Cross multiply
    506.70x = 758.70 × 323.10
  4. Step 4: Simplify right side
    506.70x = 245,135.97
  5. Step 5: Solve for x
    x = 245,135.97/506.70
  6. Step 6: Final answer
    x = 483.79

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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.