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Finding the Fourth Proportional to 506.84, 758.24 and 439.12

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Solution

The fourth proportional to 506.84, 758.24 and 439.12 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 758.24 = 439.12 : x
  2. Step 2: Convert to fraction form
    506.84/758.24 = 439.12/x
  3. Step 3: Cross multiply
    506.84x = 758.24 × 439.12
  4. Step 4: Simplify right side
    506.84x = 332,958.35
  5. Step 5: Solve for x
    x = 332,958.35/506.84
  6. Step 6: Final answer
    x = 656.93

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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.