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Finding the Fourth Proportional to 506.67, 758.73 and 323.51

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Solution

The fourth proportional to 506.67, 758.73 and 323.51 is: 484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.67 : 758.73 = 323.51 : x
  2. Step 2: Convert to fraction form
    506.67/758.73 = 323.51/x
  3. Step 3: Cross multiply
    506.67x = 758.73 × 323.51
  4. Step 4: Simplify right side
    506.67x = 245,454.16
  5. Step 5: Solve for x
    x = 245,454.16/506.67
  6. Step 6: Final answer
    x = 484.45

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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.