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Finding the Fourth Proportional to 506.05, 757.24 and 418.57

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Solution

The fourth proportional to 506.05, 757.24 and 418.57 is: 626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.05 : 757.24 = 418.57 : x
  2. Step 2: Convert to fraction form
    506.05/757.24 = 418.57/x
  3. Step 3: Cross multiply
    506.05x = 757.24 × 418.57
  4. Step 4: Simplify right side
    506.05x = 316,957.95
  5. Step 5: Solve for x
    x = 316,957.95/506.05
  6. Step 6: Final answer
    x = 626.34

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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.