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Finding the Fourth Proportional to 515.14, 771.73 and 446.20

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Solution

The fourth proportional to 515.14, 771.73 and 446.20 is: 668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.14 : 771.73 = 446.20 : x
  2. Step 2: Convert to fraction form
    515.14/771.73 = 446.20/x
  3. Step 3: Cross multiply
    515.14x = 771.73 × 446.20
  4. Step 4: Simplify right side
    515.14x = 344,345.93
  5. Step 5: Solve for x
    x = 344,345.93/515.14
  6. Step 6: Final answer
    x = 668.45

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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.