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Finding the Fourth Proportional to 520.68, 717.14 and 441.75

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Solution

The fourth proportional to 520.68, 717.14 and 441.75 is: 608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.68 : 717.14 = 441.75 : x
  2. Step 2: Convert to fraction form
    520.68/717.14 = 441.75/x
  3. Step 3: Cross multiply
    520.68x = 717.14 × 441.75
  4. Step 4: Simplify right side
    520.68x = 316,797.90
  5. Step 5: Solve for x
    x = 316,797.90/520.68
  6. Step 6: Final answer
    x = 608.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.