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Finding the Fourth Proportional to 515.07, 768.85 and 446.85

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Solution

The fourth proportional to 515.07, 768.85 and 446.85 is: 667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.07 : 768.85 = 446.85 : x
  2. Step 2: Convert to fraction form
    515.07/768.85 = 446.85/x
  3. Step 3: Cross multiply
    515.07x = 768.85 × 446.85
  4. Step 4: Simplify right side
    515.07x = 343,559.51
  5. Step 5: Solve for x
    x = 343,559.51/515.07
  6. Step 6: Final answer
    x = 667.02

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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.