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Finding the Fourth Proportional to 622.54, 857.19 and 517.42

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Solution

The fourth proportional to 622.54, 857.19 and 517.42 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.54 : 857.19 = 517.42 : x
  2. Step 2: Convert to fraction form
    622.54/857.19 = 517.42/x
  3. Step 3: Cross multiply
    622.54x = 857.19 × 517.42
  4. Step 4: Simplify right side
    622.54x = 443,527.25
  5. Step 5: Solve for x
    x = 443,527.25/622.54
  6. Step 6: Final answer
    x = 712.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.