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Finding the Fourth Proportional to 504.21, 757.82 and 418.11

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Solution

The fourth proportional to 504.21, 757.82 and 418.11 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.21 : 757.82 = 418.11 : x
  2. Step 2: Convert to fraction form
    504.21/757.82 = 418.11/x
  3. Step 3: Cross multiply
    504.21x = 757.82 × 418.11
  4. Step 4: Simplify right side
    504.21x = 316,850.03
  5. Step 5: Solve for x
    x = 316,850.03/504.21
  6. Step 6: Final answer
    x = 628.41

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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.