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Finding the Fourth Proportional to 504.97, 758.95 and 418.86

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Solution

The fourth proportional to 504.97, 758.95 and 418.86 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.97 : 758.95 = 418.86 : x
  2. Step 2: Convert to fraction form
    504.97/758.95 = 418.86/x
  3. Step 3: Cross multiply
    504.97x = 758.95 × 418.86
  4. Step 4: Simplify right side
    504.97x = 317,892.75
  5. Step 5: Solve for x
    x = 317,892.75/504.97
  6. Step 6: Final answer
    x = 629.53

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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.