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Finding the Fourth Proportional to 515.62, 768.02 and 509.59

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Solution

The fourth proportional to 515.62, 768.02 and 509.59 is: 759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 768.02 = 509.59 : x
  2. Step 2: Convert to fraction form
    515.62/768.02 = 509.59/x
  3. Step 3: Cross multiply
    515.62x = 768.02 × 509.59
  4. Step 4: Simplify right side
    515.62x = 391,375.31
  5. Step 5: Solve for x
    x = 391,375.31/515.62
  6. Step 6: Final answer
    x = 759.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.