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Finding the Fourth Proportional to 515.45, 772.49 and 446.65

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Solution

The fourth proportional to 515.45, 772.49 and 446.65 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.45 : 772.49 = 446.65 : x
  2. Step 2: Convert to fraction form
    515.45/772.49 = 446.65/x
  3. Step 3: Cross multiply
    515.45x = 772.49 × 446.65
  4. Step 4: Simplify right side
    515.45x = 345,028.49
  5. Step 5: Solve for x
    x = 345,028.49/515.45
  6. Step 6: Final answer
    x = 669.38

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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.