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Finding the Fourth Proportional to 506.24, 755.68 and 438.24

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Solution

The fourth proportional to 506.24, 755.68 and 438.24 is: 654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.24 : 755.68 = 438.24 : x
  2. Step 2: Convert to fraction form
    506.24/755.68 = 438.24/x
  3. Step 3: Cross multiply
    506.24x = 755.68 × 438.24
  4. Step 4: Simplify right side
    506.24x = 331,169.20
  5. Step 5: Solve for x
    x = 331,169.20/506.24
  6. Step 6: Final answer
    x = 654.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.