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Finding the Fourth Proportional to 622.62, 932.72 and 513.09

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Solution

The fourth proportional to 622.62, 932.72 and 513.09 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 932.72 = 513.09 : x
  2. Step 2: Convert to fraction form
    622.62/932.72 = 513.09/x
  3. Step 3: Cross multiply
    622.62x = 932.72 × 513.09
  4. Step 4: Simplify right side
    622.62x = 478,566.74
  5. Step 5: Solve for x
    x = 478,566.74/622.62
  6. Step 6: Final answer
    x = 768.63

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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.