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Finding the Fourth Proportional to 515.50, 768.66 and 509.12

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Solution

The fourth proportional to 515.50, 768.66 and 509.12 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.50 : 768.66 = 509.12 : x
  2. Step 2: Convert to fraction form
    515.50/768.66 = 509.12/x
  3. Step 3: Cross multiply
    515.50x = 768.66 × 509.12
  4. Step 4: Simplify right side
    515.50x = 391,337.31
  5. Step 5: Solve for x
    x = 391,337.31/515.50
  6. Step 6: Final answer
    x = 759.14

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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.