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Finding the Fourth Proportional to 622.70, 859.95 and 513.26

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Solution

The fourth proportional to 622.70, 859.95 and 513.26 is: 708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.70 : 859.95 = 513.26 : x
  2. Step 2: Convert to fraction form
    622.70/859.95 = 513.26/x
  3. Step 3: Cross multiply
    622.70x = 859.95 × 513.26
  4. Step 4: Simplify right side
    622.70x = 441,377.94
  5. Step 5: Solve for x
    x = 441,377.94/622.70
  6. Step 6: Final answer
    x = 708.81

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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.