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Finding the Fourth Proportional to 622.62, 859.26 and 511.78

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Solution

The fourth proportional to 622.62, 859.26 and 511.78 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.62 : 859.26 = 511.78 : x
  2. Step 2: Convert to fraction form
    622.62/859.26 = 511.78/x
  3. Step 3: Cross multiply
    622.62x = 859.26 × 511.78
  4. Step 4: Simplify right side
    622.62x = 439,752.08
  5. Step 5: Solve for x
    x = 439,752.08/622.62
  6. Step 6: Final answer
    x = 706.29

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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.