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Finding the Fourth Proportional to 504.11, 759.60 and 414.81

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Solution

The fourth proportional to 504.11, 759.60 and 414.81 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.11 : 759.60 = 414.81 : x
  2. Step 2: Convert to fraction form
    504.11/759.60 = 414.81/x
  3. Step 3: Cross multiply
    504.11x = 759.60 × 414.81
  4. Step 4: Simplify right side
    504.11x = 315,089.68
  5. Step 5: Solve for x
    x = 315,089.68/504.11
  6. Step 6: Final answer
    x = 625.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.