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Finding the Fourth Proportional to 520.28, 782.02 and 494.68

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Solution

The fourth proportional to 520.28, 782.02 and 494.68 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.28 : 782.02 = 494.68 : x
  2. Step 2: Convert to fraction form
    520.28/782.02 = 494.68/x
  3. Step 3: Cross multiply
    520.28x = 782.02 × 494.68
  4. Step 4: Simplify right side
    520.28x = 386,849.65
  5. Step 5: Solve for x
    x = 386,849.65/520.28
  6. Step 6: Final answer
    x = 743.54

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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.